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Diffstat (limited to 'src/interp/nag-f04.boot.pamphlet')
| -rw-r--r-- | src/interp/nag-f04.boot.pamphlet | 2331 |
1 files changed, 0 insertions, 2331 deletions
diff --git a/src/interp/nag-f04.boot.pamphlet b/src/interp/nag-f04.boot.pamphlet deleted file mode 100644 index da36ae78..00000000 --- a/src/interp/nag-f04.boot.pamphlet +++ /dev/null @@ -1,2331 +0,0 @@ -\documentclass{article} -\usepackage{axiom} -\begin{document} -\title{\$SPAD/src/interp nag-f04.boot} -\author{The Axiom Team} -\maketitle -\begin{abstract} -\end{abstract} -\eject -\tableofcontents -\eject -\section{License} -<<license>>= --- Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd. --- All rights reserved. --- --- Redistribution and use in source and binary forms, with or without --- modification, are permitted provided that the following conditions are --- met: --- --- - Redistributions of source code must retain the above copyright --- notice, this list of conditions and the following disclaimer. --- --- - Redistributions in binary form must reproduce the above copyright --- notice, this list of conditions and the following disclaimer in --- the documentation and/or other materials provided with the --- distribution. --- --- - Neither the name of The Numerical ALgorithms Group Ltd. nor the --- names of its contributors may be used to endorse or promote products --- derived from this software without specific prior written permission. --- --- THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS --- IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED --- TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A --- PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER --- OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, --- EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, --- PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR --- PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF --- LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING --- NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS --- SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. - -@ -<<*>>= -<<license>> - -f04adf() == - htInitPage("F04ADF - Solution of complex simultaneous linear equations, with multiple right-hand sides (Black box)",nil) - htMakePage '( - (domainConditions - (isDomain I (Integer))) - (text . "\windowlink{Manual Page}{manpageXXf04adf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f04adf| '|NagLinearEquationSolvingPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "\newline ") - (text . "Calculates the approximate solution of a set of complex linear ") - (text . "equations {\it AX = B} using an {\it LU} factorization with ") - (text . "partial pivoting, where {\it A} is an n * n matrix, {\it X} is ") - (text . "an {\it n} by {\it m} matrix of unknowns and {\it B} is an ") - (text . "{\it n} by {\it m} matrix of right-hand sides.") - (text . "\blankline ") - (text . "\newline \menuitemstyle{}\tab{2} ") - (text . "{\it n} order of matrix A:") - (text . "\tab{28} \menuitemstyle{}\tab{30} ") - (text . "{\it m} number of right-hand sides \htbitmap{great=} 0 :") - (text . "\newline\tab{2} ") - (bcStrings (10 3 n I)) - (text . "\tab{30} ") - (bcStrings (10 1 m I)) --- (text . "\blankline ") --- (text . "\newline \menuitemstyle{}\tab{2} ") --- (text . "{\it IA} first dimension of A:") --- (text . "\tab{32} \menuitemstyle{}\tab{34} ") --- (text . "{\it IB} first dimension of B:") --- (text . "\newline\tab{2} ") --- (bcStrings (10 3 ia I)) --- (text . "\tab{34} ") --- (bcStrings (10 3 ib I)) --- (text . "\blankline ") --- (text . "\newline \menuitemstyle{}\tab{2} ") --- (text . "{\it IC} first dimension of C:") --- (text . "\newline\tab{2} ") --- (bcStrings (10 3 ic I)) - (text . "\blankline ") - (text . "\newline \menuitemstyle{} \tab{2} ") - (text . "Ifail value:") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'f04adfSolve) - htShowPage() - -f04adfSolve htPage == - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - m := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm) - objValUnwrap htpLabelSpadValue(htPage, 'm) - ia := n --- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'ia) --- objValUnwrap htpLabelSpadValue(htPage, 'ia) - ib := n --- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'ib) --- objValUnwrap htpLabelSpadValue(htPage, 'ib) - ic := n --- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'ic) --- objValUnwrap htpLabelSpadValue(htPage, 'ic) - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - (n = '3 and m = '1) => f04adfDefaultSolve(htPage,ifail) - matList := - "append"/[f(i,n) for i in 1..ia] where f(i,n) == - labelList := - "append"/[g(i,j) for j in 1..n] where g(i,j) == - ianam := INTERN STRCONC ('"a",STRINGIMAGE i, STRINGIMAGE j) - [['bcStrings,[12, "0.0 + 0.0*%i", ianam, 'F]]] - prefix := ('"\newline \tab{2} ") - labelList := [['text,:prefix],:labelList] - bmatList := - "append"/[fb(i,m) for i in 1..ib] where fb(i,m) == - blabelList := - "append"/[gb(i,j) for j in 1..m] where gb(i,j) == - bnam := INTERN STRCONC ('"b",STRINGIMAGE i, STRINGIMAGE j) - [['bcStrings,[12, "0.0 + 0.0*%i", bnam, 'F]]] - prefix := ('"\newline \tab{2} ") - blabelList := [['text,:prefix],:blabelList] - start := ('"\blankline \menuitemstyle{} \tab{2} Enter values of {\it b}:") - bmatList := [['text,:start],:bmatList] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain F (Float))), - :matList,:bmatList] - page := htInitPage("F04ADF - Solution of complex simultaneous linear equations, with multiple right-hand sides (Black box)",nil) - htSay '"\newline \menuitemstyle{}\tab{2} Enter values of {\it A}: " - htSay '"\newline \tab{2} " - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'f04adfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) --- htpSetProperty(page,'ia,ia) --- htpSetProperty(page,'ib,ib) --- htpSetProperty(page,'ic,ic) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - - -f04adfDefaultSolve (htPage, ifail) == - n := '3 - m := '1 - ia := '3 - ib := '3 - ic := '3 - page := htInitPage("F04ADF - Solution of complex simultaneous linear equations, with multiple right-hand sides (Black box)",nil) - htMakePage '( - (domainConditions - (isDomain F (Float)) - (isDomain I (Integer))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Enter values of {\it A}: ") - (text . "\newline \tab{2} ") - (bcStrings (12 "1" a11 F)) - (bcStrings (12 "1 + 2*%i" a12 F)) - (bcStrings (12 "2 + 10*%i" a13 F)) - (text . "\newline \tab{2} ") - (bcStrings (12 "1 + %i" a21 F)) - (bcStrings (12 "3*%i" a22 F)) - (bcStrings (12 "-5 + 14*%i" a23 F)) - (text . "\newline \tab{2} ") - (bcStrings (12 "1 + %i" a31 F)) - (bcStrings (12 "5*%i" a32 F)) - (bcStrings (12 "-8 + 20*%i" a33 F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Enter values of {\it b}: ") - (text . "\newline \tab{2} ") - (bcStrings (12 "1" b1 F)) - (text . "\newline \tab{2} ") - (bcStrings (12 "0" b2 F)) - (text . "\newline \tab{2} ") - (bcStrings (12 "0" b3 F))) - htMakeDoneButton('"Continue",'f04adfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) --- htpSetProperty(page,'ia,ia) --- htpSetProperty(page,'ib,ib) --- htpSetProperty(page,'ic,ic) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -f04adfGen htPage == - n := htpProperty(htPage,'n) - m := htpProperty(htPage,'m) --- ia := htpProperty(htPage,'ia) --- ib := htpProperty(htPage,'ib) --- ic := htpProperty(htPage,'ic) - ia := n - ib := n - ic := n - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - -- will probably need to change this as its a vector not an array - for i in 1..m repeat - for j in 1..ib repeat - right := STRCONC((first y).1," ") - y := rest y - bList := [right,:bList] - bstring := bcwords2liststring bList - boutList := [bstring,:boutList] - bList := [] - boutstring := bcwords2liststring boutList - y := REVERSE y - k := -1 - matform := [[y.(k := k + 1).1 for j in 0..(n-1)] for i in 0..(ia-1)] - matstring := bcwords2liststring [bcwords2liststring x for x in matform] - prefix := STRCONC('"f04adf(",STRINGIMAGE ia,",",boutstring,",") - prefix := STRCONC(prefix,STRINGIMAGE ib,", ",STRINGIMAGE n,", ") - prefix := STRCONC(prefix,STRINGIMAGE m,", ",STRINGIMAGE ic) - prefix := STRCONC(prefix,", ",matstring,", ",STRINGIMAGE ifail,")") - bcGen prefix - -f04arf() == - htInitPage("F04ARF - Solution of real simultaneous linear equations, one right-hand side (Black box)",nil) - htMakePage '( - (domainConditions - (isDomain I (Integer))) - (text . "\windowlink{Manual Page}{manpageXXf04arf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f04arf| '|NagLinearEquationSolvingPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "\blankline ") - (text . "Calculates the approximate solution of a set of real linear ") - (text . "equations {\it Ax = b} using an {\it LU} factorization with ") - (text . "pivoting, where {\it A} is an n * n matrix, {\it x} is an n ") - (text . "element vector of unknowns and {\it b} is an n element ") - (text . "right-hand side vector.") - (text . "\blankline ") - (text . "\newline ") - (text . "\blankline ") - (text . "\newline \menuitemstyle{}\tab{2} ") --- (text . "{\it IA} first dimension of A:") --- (text . "\tab{32} \menuitemstyle{}\tab{34} ") - (text . "{\it n} order of matrix A:") - (text . "\newline\tab{2} ") --- (bcStrings (10 8 ia I)) --- (text . "\tab{34} ") - (bcStrings (10 3 n I)) - (text . "\blankline ") - (text . "\newline \menuitemstyle{} \tab{2} ") - (text . "Ifail value:") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'f04arfSolve) - htShowPage() - -f04arfSolve htPage == - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - ia := n --- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'ia) --- objValUnwrap htpLabelSpadValue(htPage, 'ia) - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - n = '3 => f04arfDefaultSolve(htPage,ifail) - matList := - "append"/[f(i,n) for i in 1..ia] where f(i,n) == - labelList := - "append"/[g(i,j) for j in 1..n] where g(i,j) == - ianam := INTERN STRCONC ('"ia",STRINGIMAGE i, STRINGIMAGE j) - [['bcStrings,[6, "0.0", ianam, 'F]]] - prefix := ('"\newline \tab{2} ") - labelList := [['text,:prefix],:labelList] - bmatList := - "append"/[h(k) for k in 1..n] where h(k) == - prefix := ('"\newline \tab{2} ") - bnam := INTERN STRCONC ('"b",STRINGIMAGE k) - [['text,:prefix],['bcStrings,[6, "0.0", bnam, 'F]]] - start := ('"\blankline \menuitemstyle{} \tab{2} Enter values of {\it b}:") - bmatList := [['text,:start],:bmatList] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain F (Float))), - :matList,:bmatList] - page := htInitPage("F04ARF - Solution of real simultaneous linear equations, one right-hand side (Black box)",nil) - htSay '"\newline \menuitemstyle{}\tab{2} Enter values of {\it A}: " - htSay '"\newline \tab{2} " - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'f04arfGen) - htpSetProperty(page,'n,n) --- htpSetProperty(page,'ia,ia) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - - -f04arfDefaultSolve (htPage, ifail) == - n := '3 - ia := '3 - page := htInitPage("F04ARF - Solution of real simultaneous linear equations, one right-hand side (Black box)",nil) - htMakePage '( - (domainConditions - (isDomain F (Float)) - (isDomain I (Integer))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Enter values of {\it A}: ") - (text . "\newline \tab{2} ") - (bcStrings (6 33 ia11 F)) - (bcStrings (6 16 ia12 F)) - (bcStrings (6 72 ia13 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "-24" ia21 F)) - (bcStrings (6 "-10" ia22 F)) - (bcStrings (6 "-57" ia23 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "-8" ia31 F)) - (bcStrings (6 "-4" ia32 F)) - (bcStrings (6 "-17" ia33 F)) --- (text . "\newline \tab{2} ") --- (bcStrings (6 0 ia41 F)) --- (bcStrings (6 0 ia42 F)) --- (bcStrings (6 0 ia43 F)) --- (text . "\newline \tab{2} ") --- (bcStrings (6 0 ia51 F)) --- (bcStrings (6 0 ia52 F)) --- (bcStrings (6 0 ia53 F)) --- (text . "\newline \tab{2} ") --- (bcStrings (6 0 ia61 F)) --- (bcStrings (6 0 ia62 F)) --- (bcStrings (6 0 ia63 F)) --- (text . "\newline \tab{2} ") --- (bcStrings (6 0 ia71 F)) --- (bcStrings (6 0 ia72 F)) --- (bcStrings (6 0 ia73 F)) --- (text . "\newline \tab{2} ") --- (bcStrings (6 0 ia81 F)) --- (bcStrings (6 0 ia82 F)) --- (bcStrings (6 0 ia83 F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Enter values of {\it b}: ") - (text . "\newline \tab{2} ") - (bcStrings (6 "-359" b1 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "281" b2 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "85" b3 F))) - htMakeDoneButton('"Continue",'f04arfGen) - htpSetProperty(page,'n,n) --- htpSetProperty(page,'ia,ia) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -f04arfGen htPage == - n := htpProperty(htPage,'n) --- ia := htpProperty(htPage,'ia) - ia := n - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - for i in 1..n repeat - right := STRCONC((first y).1," ") - y := rest y - bList := [right,:bList] - bstring := bcwords2liststring bList - y := REVERSE y - k := -1 - matform := [[y.(k := k + 1).1 for j in 0..(n-1)] for i in 0..(ia-1)] - matstring := bcwords2liststring [bcwords2liststring x for x in matform] - prefix := STRCONC('"f04arf(",STRINGIMAGE ia,", [",bstring,"],",STRINGIMAGE n) - prefix := STRCONC(prefix,", ",matstring,", ",STRINGIMAGE ifail,")") - bcGen prefix - -f04asf() == - htInitPage("F04ASF - Solution of real symmetric positive-definite simultaneous linear equations, one right-hand side using iterative refinement (Black box)",nil) - htMakePage '( - (domainConditions - (isDomain I (Integer))) - (text . "\windowlink{Manual Page}{manpageXXf04asf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f04asf| '|NagLinearEquationSolvingPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "\blankline ") - (text . "Calculates the accurate solution of a set of real symmetric ") - (text . "positive-definite linear equations {\it Ax = b} using an a ") - (text . "Cholesky factorization and iterative refinement, ") - (text . "where {\it A} is an n * n matrix, {\it x} is an n ") - (text . "element vector of unknowns and {\it b} is an n element ") - (text . "right-hand side vector.") - (text . "\blankline ") - (text . "\newline ") - (text . "\blankline ") - (text . "\newline \menuitemstyle{}\tab{2} ") --- (text . "{\it IA} first dimension of A:") --- (text . "\tab{32} \menuitemstyle{}\tab{34} ") - (text . "{\it n} order of matrix A:") - (text . "\newline\tab{2} ") --- (bcStrings (10 8 ia I)) --- (text . "\tab{34} ") - (bcStrings (10 4 n I)) - (text . "\blankline ") - (text . "\newline \menuitemstyle{} \tab{2} ") - (text . "Ifail value:") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'f04asfSolve) - htShowPage() - -f04asfSolve htPage == - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - ia := n --- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'ia) --- objValUnwrap htpLabelSpadValue(htPage, 'ia) - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 --- (n = '4 and ia = '8) => f04asfDefaultSolve(htPage,ifail) - n = '4 => f04asfDefaultSolve(htPage,ifail) - matList := - "append"/[f(i,n) for i in 1..ia] where f(i,n) == - labelList := - "append"/[g(i,j) for j in 1..n] where g(i,j) == - ianam := INTERN STRCONC ('"ia",STRINGIMAGE i, STRINGIMAGE j) - [['bcStrings,[6, "0.0", ianam, 'F]]] - prefix := ('"\newline \tab{2} ") - labelList := [['text,:prefix],:labelList] - bmatList := - "append"/[h(k) for k in 1..n] where h(k) == - prefix := ('"\newline \tab{2} ") - bnam := INTERN STRCONC ('"b",STRINGIMAGE k) - [['text,:prefix],['bcStrings,[6, "0.0", bnam, 'F]]] - start := ('"\blankline \menuitemstyle{} \tab{2} Enter values of {\it b}:") - bmatList := [['text,:start],:bmatList] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain F (Float))), - :matList,:bmatList] - page := htInitPage("F04ASF - Solution of real symmetric positive-definite simultaneous linear equations, one right-hand side using iterative refinement (Black box)",nil) - htSay '"\newline \menuitemstyle{}\tab{2} Enter values of {\it A}: " - htSay '"\newline \tab{2} " - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'f04asfGen) - htpSetProperty(page,'n,n) --- htpSetProperty(page,'ia,ia) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - - -f04asfDefaultSolve (htPage, ifail) == - n := '4 - ia := '4 - page := htInitPage("F04ASF - Solution of real symmetric positive-definite simultaneous linear equations, one right-hand side using iterative refinement (Black box)",nil) - htMakePage '( - (domainConditions - (isDomain F (Float)) - (isDomain I (Integer))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Enter values of {\it A}: ") - (text . "\newline \tab{2} ") - (bcStrings (6 5 ia11 F)) - (bcStrings (6 7 ia12 F)) - (bcStrings (6 6 ia13 F)) - (bcStrings (6 5 ia14 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 7 ia21 F)) - (bcStrings (6 10 ia22 F)) - (bcStrings (6 8 ia23 F)) - (bcStrings (6 7 ia24 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 6 ia31 F)) - (bcStrings (6 8 ia32 F)) - (bcStrings (6 10 ia33 F)) - (bcStrings (6 9 ia34 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 5 ia41 F)) - (bcStrings (6 7 ia42 F)) - (bcStrings (6 9 ia43 F)) - (bcStrings (6 10 ia44 F)) --- (text . "\newline \tab{2} ") --- (bcStrings (6 0 ia51 F)) --- (bcStrings (6 0 ia52 F)) --- (bcStrings (6 0 ia53 F)) --- (bcStrings (6 0 ia54 F)) --- (text . "\newline \tab{2} ") --- (bcStrings (6 0 ia61 F)) --- (bcStrings (6 0 ia62 F)) --- (bcStrings (6 0 ia63 F)) --- (bcStrings (6 0 ia64 F)) --- (text . "\newline \tab{2} ") --- (bcStrings (6 0 ia71 F)) --- (bcStrings (6 0 ia72 F)) --- (bcStrings (6 0 ia73 F)) --- (bcStrings (6 0 ia74 F)) --- (text . "\newline \tab{2} ") --- (bcStrings (6 0 ia81 F)) --- (bcStrings (6 0 ia82 F)) --- (bcStrings (6 0 ia83 F)) --- (bcStrings (6 0 ia84 F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Enter values of {\it b}: ") - (text . "\newline \tab{2} ") - (bcStrings (6 23 b1 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 32 b2 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 33 b3 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 31 b4 F))) - htMakeDoneButton('"Continue",'f04asfGen) - htpSetProperty(page,'n,n) --- htpSetProperty(page,'ia,ia) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -f04asfGen htPage == - n := htpProperty(htPage,'n) --- ia := htpProperty(htPage,'ia) - ia := n - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - for i in 1..n repeat - right := STRCONC((first y).1," ") - y := rest y - bList := [right,:bList] - bstring := bcwords2liststring bList - y := REVERSE y - k := -1 - matform := [[y.(k := k + 1).1 for j in 0..(n-1)] for i in 0..(ia-1)] - matstring := bcwords2liststring [bcwords2liststring x for x in matform] - prefix := STRCONC('"f04asf(",STRINGIMAGE ia,", [",bstring,"],",STRINGIMAGE n) - prefix := STRCONC(prefix,", ",matstring,", ",STRINGIMAGE ifail,")") - bcGen prefix - -f04atf() == - htInitPage("F04ATF - Solution of real simultaneous linear equations, one right-hand side using iterative refinement (Black box)",nil) - htMakePage '( - (domainConditions - (isDomain I (Integer))) - (text . "\windowlink{Manual Page}{manpageXXf04atf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f04atf| '|NagLinearEquationSolvingPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "\blankline ") - (text . "Calculates the approximate solution of a set of real linear ") - (text . "equations {\it Ax = b} using an {\it LU} factorization with ") - (text . "pivoting and iterative refinement, ") - (text . "where {\it A} is an n * n matrix, {\it x} is an n ") - (text . "element vector of unknowns and {\it b} is an n element ") - (text . "right-hand side vector.") - (text . "\blankline ") - (text . "\newline ") - (text . "\blankline ") - (text . "\newline \menuitemstyle{}\tab{2} ") --- (text . "{\it IA} first dimension of A:") --- (text . "\tab{32} \menuitemstyle{}\tab{34} ") - (text . "{\it n} order of matrix A:") - (text . "\newline\tab{2} ") --- (bcStrings (10 8 ia I)) --- (text . "\tab{34} ") - (bcStrings (10 3 n I)) --- (text . "\blankline ") --- (text . "\newline \menuitemstyle{} \tab{2} ") --- (text . "{\it IAA} first dimension of AA:") --- (text . "\newline \tab{2} ") --- (bcStrings (10 8 iaa I)) - (text . "\blankline ") - (text . "\newline \menuitemstyle{} \tab{2} ") - (text . "Ifail value:") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'f04atfSolve) - htShowPage() - -f04atfSolve htPage == - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - ia := n --- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'ia) --- objValUnwrap htpLabelSpadValue(htPage, 'ia) - iaa := n --- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'iaa) --- objValUnwrap htpLabelSpadValue(htPage, 'iaa) - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 --- (n = '3 and ia = '8) => f04atfDefaultSolve(htPage,iaa,ifail) - n = '3 => f04atfDefaultSolve(htPage,iaa,ifail) - matList := - "append"/[f(i,n) for i in 1..ia] where f(i,n) == - labelList := - "append"/[g(i,j) for j in 1..n] where g(i,j) == - ianam := INTERN STRCONC ('"ia",STRINGIMAGE i, STRINGIMAGE j) - [['bcStrings,[6, "0.0", ianam, 'F]]] - prefix := ('"\newline \tab{2} ") - labelList := [['text,:prefix],:labelList] - bmatList := - "append"/[h(k) for k in 1..n] where h(k) == - prefix := ('"\newline \tab{2} ") - bnam := INTERN STRCONC ('"b",STRINGIMAGE k) - [['text,:prefix],['bcStrings,[6, "0.0", bnam, 'F]]] - start := ('"\blankline \menuitemstyle{} \tab{2} Enter values of {\it b}:") - bmatList := [['text,:start],:bmatList] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain F (Float))), - :matList,:bmatList] - page := htInitPage("F04ATF - Solution of real simultaneous linear equations, one right-hand side using iterative refinement (Black box)",nil) - htSay '"\newline \menuitemstyle{}\tab{2} Enter values of {\it A}: " - htSay '"\newline \tab{2} " - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'f04atfGen) - htpSetProperty(page,'n,n) --- htpSetProperty(page,'ia,ia) --- htpSetProperty(page,'iaa,iaa) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - - -f04atfDefaultSolve (htPage, iaa, ifail) == - n := '3 - ia := '3 - page := htInitPage("F04ATF - Solution of real simultaneous linear equations, one right-hand side using iterative refinement (Black box)",nil) - htMakePage '( - (domainConditions - (isDomain F (Float)) - (isDomain I (Integer))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Enter values of {\it A}: ") - (text . "\newline \tab{2} ") - (bcStrings (6 33 ia11 F)) - (bcStrings (6 16 ia12 F)) - (bcStrings (6 72 ia13 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "-24" ia21 F)) - (bcStrings (6 "-10" ia22 F)) - (bcStrings (6 "-57" ia23 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "-8" ia31 F)) - (bcStrings (6 "-4" ia32 F)) - (bcStrings (6 "-17" ia33 F)) --- (text . "\newline \tab{2} ") --- (bcStrings (6 0 ia41 F)) --- (bcStrings (6 0 ia42 F)) --- (bcStrings (6 0 ia43 F)) --- (text . "\newline \tab{2} ") --- (bcStrings (6 0 ia51 F)) --- (bcStrings (6 0 ia52 F)) --- (bcStrings (6 0 ia53 F)) --- (text . "\newline \tab{2} ") --- (bcStrings (6 0 ia61 F)) --- (bcStrings (6 0 ia62 F)) --- (bcStrings (6 0 ia63 F)) --- (text . "\newline \tab{2} ") --- (bcStrings (6 0 ia71 F)) --- (bcStrings (6 0 ia72 F)) --- (bcStrings (6 0 ia73 F)) --- (text . "\newline \tab{2} ") --- (bcStrings (6 0 ia81 F)) --- (bcStrings (6 0 ia82 F)) --- (bcStrings (6 0 ia83 F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Enter values of {\it b}: ") - (text . "\newline \tab{2} ") - (bcStrings (6 "-359" b1 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "281" b2 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "85" b3 F))) - htMakeDoneButton('"Continue",'f04atfGen) - htpSetProperty(page,'n,n) --- htpSetProperty(page,'ia,ia) --- htpSetProperty(page,'iaa,iaa) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -f04atfGen htPage == - n := htpProperty(htPage,'n) --- ia := htpProperty(htPage,'ia) --- iaa := htpProperty(htPage,'iaa) - ia := n - iaa := n - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - for i in 1..n repeat - right := STRCONC((first y).1," ") - y := rest y - bList := [right,:bList] - bstring := bcwords2liststring bList - y := REVERSE y - k := -1 - matform := [[y.(k := k + 1).1 for j in 0..(n-1)] for i in 0..(ia-1)] - matstring := bcwords2liststring [bcwords2liststring x for x in matform] - prefix := STRCONC('"f04atf(",matstring,", ",STRINGIMAGE ia,", [",bstring) - prefix := STRCONC(prefix,"],",STRINGIMAGE n,", ",STRINGIMAGE iaa,", ") - prefix := STRCONC(prefix,STRINGIMAGE ifail,")") - bcGen prefix - - -f04faf() == - htInitPage('"F04FAF - Solution of real symmetric positive-definite tridiagonal simultaneous linear equations, one right-hand side (Black box)",nil) - htMakePage '( - (domainConditions - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXf04adf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f04faf| '|NagLinearEquationSolvingPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "\blankline ") - (text . "Calculates the approximate solution of a set of real symmetric ") - (text . "positive-definite tridiagonal linear equations {\it Tx = b} ") - (text . "using a modified symmetric Gaussian Elimination algorithm, ") - (text . "where {\it T} is an n * n matrix, {\it x} is an n ") - (text . "element vector of unknowns and {\it b} is an n element ") - (text . "right-hand side vector. {\it T} is factorized as ") - (text . "\inputbitmap{\htbmdir{}/mkm.bitmap}, where {\it K} is a diagonal matrix ") - (text . "and {\it M} is a matrix of multipliers. ") - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline \tab{2} ") - (text . "{\it JOB} to be performed by f04faf: ") - (radioButtons job - ("" " = 0. {\it T} is factorized and equations {\it Tx = b} are solved for x." jobZero) - ("" " = 1. {\it T} assumed to be already factorized by previous call to f04faf, the equations {\it Tx = b} are solved for x." jobOne)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "\newline Order of the matrix T {\it n}:") - (text . "\newline \tab{2} ") - (bcStrings (6 5 n PI)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline \tab{2} ") - (text . "Ifail value: ") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'f04fafSolve) - htShowPage() - -f04fafSolve htPage == - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - number := htpButtonValue(htPage,'job) - job := - number = 'jobOne => '1 - '0 - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - n = '5 => f04fafDefaultSolve(htPage,job,ifail) - dList := - "append"/[f(i) for i in 1..n] where f(i) == - prefix := ('"\newline \tab{2} ") - dnam := INTERN STRCONC ('"d",STRINGIMAGE i) - [['text,:prefix],['bcStrings,[10, 0.0, dnam, 'F]]] - prefix := ('"\menuitemstyle{}\tab{2} {\it D} Diagonal elements of T: ") - prefix := STRCONC(prefix,"\newline \tab{2} ") - dList := [['text,:prefix],:dList] - eList := - "append"/[g(j) for j in 1..(n-1)] where g(j) == - prefix := ('"\newline \tab{2} ") - enam := INTERN STRCONC ('"e",STRINGIMAGE j) - [['text,:prefix],['bcStrings,[10, 0.0, enam, 'F]]] - prefix := ('"\blankline \newline \menuitemstyle{}\tab{2} {\it E} E(2) ") - prefix := STRCONC(prefix,"to E(N)\newline \tab{2} Job = 0 => super-diagonal") - prefix := STRCONC(prefix," elements of {\it T}. \newline \tab{2} Job = 1 =>") - prefix := STRCONC(prefix," off-diagonal elements of {\it M} from previous ") - prefix := STRCONC(prefix,"call to F04FAF. ") - eList := [['text,:prefix],:eList] - bList := - "append"/[h(k) for k in 1..n] where h(k) == - prefix := ('"\newline \tab{2} ") - bnam := INTERN STRCONC ('"b",STRINGIMAGE k) - [['text,:prefix],['bcStrings,[10, 0.0, bnam, 'F]]] - prefix := ('"\blankline \newline \menuitemstyle{}\tab{2} {\it B} Right-hand") - prefix := STRCONC(prefix," side vector b: ") - bList := [['text,:prefix],:bList] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain S (String)) - (isDomain F (Float)) - (isDomain PI (PositiveInteger))), - :dList,:eList,:bList] - page := htInitPage("F04FAF - Solution of real symmetric positive-definite tridiagonal simultaneous linear equations, one right-hand side (Black box)",nil) - htMakePage equationPart - htMakeDoneButton('"Continue",'f04fafGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'job,job) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -f04fafDefaultSolve (htPage,job,ifail) == - n := '5 - page := htInitPage('"F04FAF - Solution of real symmetric positive-definite tridiagonal simultaneous linear equations, one right-hand side (Black box)",nil) - htMakePage '( - (domainConditions - (isDomain F (Float))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} {\it D} Diagonal elements of T:") - (text . "\newline \tab{2} ") - (bcStrings (10 4 d1 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 10 d2 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 29 d3 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 25 d4 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 5 d5 F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} {\it E}\space{1} E(2) to E(N) ") - (text . "\newline \tab{2} ") - (text . "Job = 0 => super-diagonal elements of {\it T}. \newline \tab{2}") - (text . "Job = 1 => off-diagonal elements of {\it M} from ") - (text . "previous call to F04FAF \newline \tab{2} ") - (bcStrings (10 "-2" e2 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 "-6" e3 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 15 e4 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 8 e5 F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} {\it B} Right-hand side vector b:") - (text . "\newline \tab{2} ") - (bcStrings (10 6 b1 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 9 b2 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 2 b3 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 14 b4 F)) - (text . "\newline \tab{2} ") - (bcStrings (10 7 b5 F))) - htMakeDoneButton('"Continue",'f04fafGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'job,job) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -f04fafGen htPage == - n := htpProperty(htPage,'n) - job := htpProperty(htPage,'job) - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - for i in 1..n repeat - b := STRCONC((first y).1," ") - bList := [b,:bList] - y := rest y - bstring := bcwords2liststring bList - for i in 1..(n-1) repeat - e := STRCONC((first y).1," ") - eList := [e,:eList] - y := rest y - eList := ['"0",:eList] - estring := bcwords2liststring eList - for i in 1..n repeat - d := STRCONC((first y).1," ") - dList := [d,:dList] - y := rest y - dstring := bcwords2liststring dList - prefix := STRCONC('"f04faf(",STRINGIMAGE job,", ",STRINGIMAGE n,",[") - prefix := STRCONC(prefix,dstring,"], [",estring,"], [",bstring,"], ") - prefix := STRCONC(prefix,STRINGIMAGE ifail,")") - bcGen prefix - - -f04jgf() == - htInitPage('"F04JGF - Least-squares (if rank = n) or minimal least-squares (if rank < n) solution of m real equations in n unknowns, rank \inputbitmap{\htbmdir{}/less=.bitmap} it n, m \inputbitmap{\htbmdir{}/great=.bitmap} n",nil) - htMakePage '( - (domainConditions - (isDomain F (Float)) - (isDomain PI (PositiveInteger))) - (text . "\windowlink{Manual Page}{manpageXXf04jgf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f04jgf| '|NagLinearEquationSolvingPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "\blankline ") - (text . "Finds the solution of a linear least squares problem {\it Ax=b},") - (text . " where A is a real m by n matrix, (m \inputbitmap{\htbmdir{}/great=.bitmap}") - (text . " n), x is an n element vector of unknowns and b is an m element ") - (text . "right-hand side vector. The routine uses a QU factorization if ") - (text . "rank A = n and the SVD if A < n. ") - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline Rows of matrix A, {\it m}: ") - (text . "\tab{32} \menuitemstyle{} \tab{34} ") - (text . "Columns of matrix A, {\it n}: \newline \tab{2} ") - (bcStrings (6 6 m PI)) - (text . "\tab{34} ") - (bcStrings (6 4 n PI)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") --- (text . "\newline First dimension of A, {\it nra}: ") --- (text . "\tab{32} \menuitemstyle{} \tab{34} ") - (text . "Tolerance, {\it tol}: ") - (text . "\newline \tab{2} ") --- (bcStrings (6 8 nra PI)) --- (text . "\tab{34} ") - (bcStrings (8 "5.0e-4" tol F)) --- (text . "\blankline ") --- (text . "\newline ") --- (text . "\menuitemstyle{}\tab{2}") --- (text . "\newline Dimension of workspace array {\it lwork}: ") --- (text . "\newline \tab{2} ") --- (bcStrings (6 32 lwork PI)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{} \tab{2} ") - (text . "\newline \tab{2} ") - (text . "Ifail value: ") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'f04jgfSolve) - htShowPage() - -f04jgfSolve htPage == - m := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm) - objValUnwrap htpLabelSpadValue(htPage, 'm) - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - nra := m --- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'nra) --- objValUnwrap htpLabelSpadValue(htPage, 'nra) - lwork := 4*n --- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lwork) --- objValUnwrap htpLabelSpadValue(htPage, 'lwork) - tol := htpLabelInputString(htPage,'tol) - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - (m = '6 and n = '4) => f04jgfDefaultSolve(htPage,nra,lwork,tol,ifail) - matList := - "append"/[f(i,n) for i in 1..m] where f(i,n) == - labelList := - "append"/[g(i,j) for j in 1..n] where g(i,j) == - anam := INTERN STRCONC ('"a",STRINGIMAGE i, STRINGIMAGE j) - [['bcStrings,[6, "0.0", anam, 'F]]] - prefix := ('"\newline \tab{2} ") - labelList := [['text,:prefix],:labelList] - bmatList := - "append"/[h(k) for k in 1..m] where h(k) == - prefix := ('"\newline \tab{2} ") - bnam := INTERN STRCONC ('"b",STRINGIMAGE k) - [['text,:prefix],['bcStrings,[6, "0.0", bnam, 'F]]] - start := ('"\blankline \menuitemstyle{} \tab{2} Enter values of {\it b}:") - bmatList := [['text,:start],:bmatList] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain S (String)) - (isDomain F (Float)) - (isDomain PI (PositiveInteger))), - :matList,:bmatList] - page := htInitPage("F04JGF - Least-squares (if rank = {\it n}) or minimal least-squares (if rank < {\it n}) solution of {\it m} real equations in {\it n} unknowns, rank \inputbitmap{\htbmdir{}/less=.bitmap} {\it n}, {\it m} \inputbitmap{\htbmdir{}/great=.bitmap} {\it n}",nil) - htSay '"\newline \menuitemstyle{}\tab{2} Enter values of {\it A}: " - htSay '"\newline \tab{2} " - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'f04jgfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) --- htpSetProperty(page,'nra,nra) --- htpSetProperty(page,'lwork,lwork) - htpSetProperty(page,'tol,tol) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -f04jgfDefaultSolve (htPage,nra,lwork,tol,ifail) == - n := '4 - m := '6 - page := htInitPage('"F04JGF - Least-squares (if rank = n) or minimal least-squares (if rank < n) solution of m real equations in n unknowns, rank \inputbitmap{\htbmdir{}/less=.bitmap} n, m \inputbitmap{\htbmdir{}/great=.bitmap} n",nil) - htMakePage '( - (domainConditions - (isDomain F (Float)) - (isDomain I (Integer))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Enter values of {\it A}: ") - (text . "\newline \tab{2} ") - (bcStrings (6 "0.05" a11 F)) - (bcStrings (6 "0.05" a12 F)) - (bcStrings (6 "0.25" a13 F)) - (bcStrings (6 "-0.25" a14 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.25" a21 F)) - (bcStrings (6 "0.25" a22 F)) - (bcStrings (6 "0.05" a23 F)) - (bcStrings (6 "-0.05" a24 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.35" a31 F)) - (bcStrings (6 "0.35" a32 F)) - (bcStrings (6 "1.75" a33 F)) - (bcStrings (6 "-1.75" a34 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "1.75" a41 F)) - (bcStrings (6 "1.75" a42 F)) - (bcStrings (6 "0.35" a43 F)) - (bcStrings (6 "-0.35" a44 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.30" a51 F)) - (bcStrings (6 "-0.30" a52 F)) - (bcStrings (6 "0.30" a53 F)) - (bcStrings (6 "0.30" a54 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.40" a61 F)) - (bcStrings (6 "-0.40" a62 F)) - (bcStrings (6 "0.40" a63 F)) - (bcStrings (6 "0.40" a64 F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Enter values of {\it b}: ") - (text . "\newline \tab{2} ") - (bcStrings (6 1 b1 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 2 b2 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 3 b3 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 4 b4 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 5 b5 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 6 b6 F))) - htMakeDoneButton('"Continue",'f04jgfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'m,m) --- htpSetProperty(page,'nra,nra) --- htpSetProperty(page,'lwork,lwork) - htpSetProperty(page,'tol,tol) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -f04jgfGen htPage == - n := htpProperty(htPage,'n) - m := htpProperty(htPage,'m) --- nra := htpProperty(htPage,'nra) --- lwork := htpProperty(htPage,'lwork) - nra := m - lwork := 4*n - tol := htpProperty(htPage,'tol) - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - for i in 1..m repeat - b := STRCONC((first y).1," ") - bList := [b,:bList] - y := rest y - bstring := bcwords2liststring bList - y := REVERSE y - for i in 1..m repeat - for j in 1..n repeat - elm := STRCONC((first y).1," ") - rowList := [:rowList,elm] - y := rest y - matform := [:matform,rowList] - rowList := [] - for i in 1..n repeat - null := STRCONC('"0.0"," ") - nullList := [:nullList,null] - for i in m..(nra-1) repeat - matform := [:matform,nullList] - matstring := bcwords2liststring [bcwords2liststring x for x in matform] - prefix := STRCONC('"f04jgf(",STRINGIMAGE m,", ",STRINGIMAGE n,", ") - prefix := STRCONC(prefix,STRINGIMAGE nra,", ",tol,", ",STRINGIMAGE lwork) - prefix := STRCONC(prefix,", ",matstring,", [",bstring,"], ") - prefix := STRCONC(prefix,STRINGIMAGE ifail,")") - bcGen prefix - -f04mcf() == - htInitPage("F04MCF - Approximate solution of real symmetric positive-definite variable-bandwidth simultaneous linear equations (coefficient matrix already factorized)",nil) - htMakePage '( - (domainConditions - (isDomain F (Float))) - (text . "\windowlink{Manual Page}{manpageXXf04mcf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f04mcf| '|NagLinearEquationSolvingPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "Computes the approximate solution of a system of real linear ") - (text . "equations AX = B, where the n by n symmetric positive-definite ") - (text . "variable-bandwidth matrix A has previously been factorized as ") - (text . "\htbitmap{ldlt} by F01MCF, X is an n by r matrix of unknowns ") - (text . "and B is an n by r matrix of right-hand sides. Related systems ") - (text . "may also be solved. ") - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the order of the matrix A, {\it n} ") - (text ."\htbitmap{great=} 1:") - (text . "\newline\tab{2} ") - (bcStrings (9 6 n PI)) - (text . "\blankline") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "\newline Enter the dimension of AL, {\it lal}: ") - (text . "\newline\tab{2} ") - (bcStrings (9 14 lal PI)) - (text . "\blankline") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "\newline Enter the number of right-hand sides, {\it ir}: ") - (text . "\newline\tab{2} ") - (bcStrings (9 2 ir PI)) --- (text . "\blankline") --- (text . "\newline ") --- (text . "\menuitemstyle{}\tab{2}") --- (text . "\newline Enter the first dimension of B, {\it nrb}: ") --- (text . "\newline\tab{2} ") --- (bcStrings (9 6 nrb PI)) --- (text . "\blankline") --- (text . "\newline ") --- (text . "\menuitemstyle{}\tab{2}") --- (text . "\newline Enter the first dimension of X, {\it nrx}: ") --- (text . "\newline\tab{2} ") --- (bcStrings (9 6 nrx PI)) - (text . "\blankline ") - (text . "\newline \menuitemstyle{}\tab{2} ") - (text . "Type of system to be solved, {\it iselct}:") - (radioButtons iselct - ("" " {\em \htbitmap{ldlt}X = B} is solved" selone) - ("" " {\em LDX = B} is solved" seltwo) - ("" " {\em D\htbitmap{lt}X = B} is solved" selthree) - ("" " {\em L\htbitmap{lt}X = B} is solved" selfour) - ("" " {\em LX = B} is solved" selfive) - ("" " {\em \htbitmap{lt}X = B} is solved" selsix)) - (text . "\blankline ") - (text . "\newline \menuitemstyle{}\tab{2} Ifail value:") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'f04mcfSolve) - htShowPage() - -f04mcfSolve htPage == - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - lal := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'lal) - objValUnwrap htpLabelSpadValue(htPage, 'lal) - ir := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'ir) - objValUnwrap htpLabelSpadValue(htPage, 'ir) - nrb := n --- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'nrb) --- objValUnwrap htpLabelSpadValue(htPage, 'nrb) - nrx := n --- $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'nrx) --- objValUnwrap htpLabelSpadValue(htPage, 'nrx) - select := htpButtonValue(htPage,'iselct) - iselct := - select = 'selone => '1 - select = 'seltwo => '2 - select = 'selthree => '3 - select = 'selfour => '4 - select = 'selfive => '5 - '6 - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - (n = '6 and lal = '14 and ir = '2) => f04mcfDefaultSolve(htPage,iselct,ifail) - labelList := - "append"/[fal(i) for i in 1..lal] where fal(i) == - xnam := INTERN STRCONC ('"x",STRINGIMAGE i) - [['bcStrings,[6, "0.0", xnam, 'F]]] - dList := - "append"/[fd(i) for i in 1..n] where fd(i) == - dnam := INTERN STRCONC ('"d",STRINGIMAGE i) - [['bcStrings,[6, "0.0", dnam, 'F]]] - prefix := ('"\blankline \menuitemstyle{}\tab{2} Diagonal elements of diagon") - prefix := STRCONC(prefix,"al matrix D as returned by F01MCF: \newline") - dList := [['text,:prefix],:dList] - nrowList := - "append"/[gj(j) for j in 1..n] where gj(j) == - nam := INTERN STRCONC ('"n",STRINGIMAGE j) - [['bcStrings,[6, 0, nam, 'PI]]] - prefix := ('"\blankline \menuitemstyle{}\tab{2} {\it NROW(n)} the width ") - prefix := STRCONC(prefix,"of the ith row of A: \newline ") - nrowList := [['text,:prefix],:nrowList] - bList := - "append"/[f(i,ir) for i in 1..nrb] where f(i,ir) == - labelList := - "append"/[g(i,j) for j in 1..ir] where g(i,j) == - bnam := INTERN STRCONC ('"b",STRINGIMAGE i, STRINGIMAGE j) - [['bcStrings,[6, "0.0", bnam, 'F]]] - prefix := ('"\newline ") - labelList := [['text,:prefix],:labelList] - prefix := ('"\blankline \menuitemstyle{}\tab{2} The n by r right-hand side ") - prefix := STRCONC(prefix,"matrix B: \newline ") - bList := [['text,:prefix],:bList] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain S (String)) - (isDomain F (Float)) - (isDomain PI (PositiveInteger))), - :labelList,:dList,:nrowList,:bList] - page := htInitPage("F04MCF - Approximate solution of real symmetric positive-definite variable-bandwidth simultaneous linear equations (coefficient matrix already factorized)",nil) - htSay '"\menuitemstyle{}\tab{2} Elements of matrix {\it AL} in row by row " - htSay '"order as returned by F01MCF: \newline " - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'f04mcfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'lal,lal) - htpSetProperty(page,'ir,ir) --- htpSetProperty(page,'nrb,nrb) --- htpSetProperty(page,'nrx,nrx) - htpSetProperty(page,'iselct,iselct) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - -f04mcfDefaultSolve (htPage,iselct,ifail) == - n := '6 - lal := '14 - ir := '2 - nrb := '6 - nrx := '6 - page := htInitPage("F04MCF - Approximate solution of real symmetric positive-definite variable-bandwidth simultaneous linear equations (coefficient matrix already factorized)",nil) - htMakePage '( - (domainConditions - (isDomain PI (Positive Integer)) - (isDomain F (Float))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} Elements of matrix {\it AL} in row by ") - (text . "row order as returned by F01MCF: ") - (text . "\newline ") - (bcStrings (6 "1.0" x1 F)) - (bcStrings (6 "2.0" x2 F)) - (bcStrings (6 "1.0" x3 F)) - (bcStrings (6 "3.0" x4 F)) - (bcStrings (6 "1.0" x5 F)) - (bcStrings (6 "1.0" x6 F)) - (bcStrings (6 "5.0" x7 F)) - (bcStrings (6 "4.0" x8 F)) - (bcStrings (6 "1.5" x9 F)) - (bcStrings (6 "0.5" x10 F)) - (bcStrings (6 "1.0" x11 F)) - (bcStrings (6 "1.5" x12 F)) - (bcStrings (6 "5.0" x13 F)) - (bcStrings (6 "1.0" x14 F)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2} Diagonal elements of diagonal matrix ") - (text . "D as returned by F01MCF: ") - (text . "\newline ") - (bcStrings (6 "1.0" d1 F)) - (bcStrings (6 "1.0" d2 F)) - (bcStrings (6 "4.0" d3 F)) - (bcStrings (6 "16.0" d4 F)) - (bcStrings (6 "1.0" d5 F)) - (bcStrings (6 "16.0" d6 F)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2} {\it NROW(n)} the width of the ith row ") - (text . "of A: ") - (text . "\newline ") - (bcStrings (6 1 n1 PI)) - (bcStrings (6 2 n2 PI)) - (bcStrings (6 2 n3 PI)) - (bcStrings (6 1 n4 PI)) - (bcStrings (6 5 n5 PI)) - (bcStrings (6 3 n6 PI)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2} The n by r right-hand side matrix B:") - (text . "\newline ") - (bcStrings (6 "6" b11 F)) - (text . "\tab{10} ") - (bcStrings (6 "-10" b12 PI)) - (text . "\newline ") - (bcStrings (6 "15" b21 F)) - (text . "\tab{10} ") - (bcStrings (6 "-21" b22 PI)) - (text . "\newline ") - (bcStrings (6 "11" b31 F)) - (text . "\tab{10} ") - (bcStrings (6 "-3" b32 PI)) - (text . "\newline ") - (bcStrings (6 "0" b41 F)) - (text . "\tab{10} ") - (bcStrings (6 "24" b42 PI)) - (text . "\newline ") - (bcStrings (6 "51" b51 F)) - (text . "\tab{10} ") - (bcStrings (6 "-39" b52 PI)) - (text . "\newline ") - (bcStrings (6 "46" b61 F)) - (text . "\tab{10} ") - (bcStrings (6 "67" b62 PI)) - (text . "\blankline ")) - htMakeDoneButton('"Continue",'f04mcfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'lal,lal) - htpSetProperty(page,'ir,ir) --- htpSetProperty(page,'nrb,nrb) --- htpSetProperty(page,'nrx,nrx) - htpSetProperty(page,'iselct,iselct) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -f04mcfGen htPage == - n := htpProperty(htPage,'n) - lal := htpProperty(htPage,'lal) - ir := htpProperty(htPage,'ir) --- nrb := htpProperty(htPage,'nrb) --- nrx := htpProperty(htPage,'nrx) - nrb := n - nrx := n - iselct := htpProperty(htPage,'iselct) - ifail := htpProperty(htPage,'ifail) - alist := htpInputAreaAlist htPage - y := alist - for i in 1..nrb repeat - for j in 1..ir repeat - elm := STRCONC((first y).1," ") - rowList := [elm,:rowList] - y := rest y - matform := [rowList,:matform] - rowList := [] - matfrom := REVERSE matform - matstring := bcwords2liststring [bcwords2liststring x for x in matform] - for i in 1..n repeat - right := STRCONC ((first y).1," ") - y := rest y - nrowList := [right,:nrowList] - nrowstring := bcwords2liststring nrowList - for i in 1..n repeat - right := STRCONC ((first y).1," ") - y := rest y - dList := [right,:dList] - dstring := bcwords2liststring dList - while y repeat - right := STRCONC ((first y).1," ") - y := rest y - alList := [right,:alList] - alstring := bcwords2liststring alList - prefix := STRCONC('"f04mcf(",STRINGIMAGE n,", [",alstring,"], ") - prefix := STRCONC(prefix,STRINGIMAGE lal,", [",dstring,"],[",nrowstring) - prefix := STRCONC(prefix,"]::Matrix Integer,") - prefix := STRCONC(prefix,STRINGIMAGE ir,", ",matstring,", ",STRINGIMAGE nrb) - prefix := STRCONC(prefix,", ",STRINGIMAGE iselct,", ",STRINGIMAGE nrx,", ") - bcGen STRCONC(prefix,STRINGIMAGE ifail,")") - - -f04axf() == - htInitPage('"F04AXF - Approximate solution of a a set of real sparse linear equations after factorization by F01BRF or by F01BSF",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain F (Float))) - (text . "\windowlink{Manual Page}{manpageXXf04axf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f04axf| '|NagLinearEquationSolvingPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "\newline ") - (text . "F04AXF calculates the approximate solution of a set of real ") - (text . "sparse linear equations {\it Ax=b} or ") - (text . "\htbitmap{aTx=b}, where the {\it n} by {\it n} matrix ") - (text . "{\it A} has been factorized by F01BRF or F01BSF, {\it x} ") - (text . "is an {\it n} element vector of unknowns and {\it b} is an ") - (text . "{\it n} element right-hand side vector. ") - (text . "\blankline") - (text . "\newline ") - (text . "Read the input file to see the example program. ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "\spadcommand{)read f04axf \bound{s0}} ")) - htShowPage() - -f04maf() == - htInitPage('"F04MAF - Solution of a real sparse symmetric positive-definite system of linear equations after factorization by F01MAF",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain F (Float))) - (text . "\windowlink{Manual Page}{manpageXXf04maf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f04maf| '|NagLinearEquationSolvingPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "\newline ") - (text . "F04MAF solves a real sparse symmetric positive-definite system ") - (text . "of linear equations {\it Ax=b} using a pre-conditioned ") - (text . "conjugate gradient method, where the {\it n} by {\it n} ") - (text . "matrix {\it A} has been factorized by F01MAF, {\it x} is an ") - (text . "{\it n} element vector of unknowns and {\it b} is an {\it n} ") - (text . "element right-hand side vector. ") - (text . "\blankline") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "\spadcommand{)read f04maf \bound{s0}} ")) - htShowPage() - -f04mbf() == - htInitPage('"F04MBF - Real sparse symmetric simultaneous linear equations",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain PI (PositiveInteger)) - (isDomain F (Float))) - (text . "\windowlink{Manual Page}{manpageXXf04mbf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f04mbf| '|NagLinearEquationSolvingPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "\newline ") - (text . "F04MBF solve a system of real symmetric linear equations ") - (text . "({\it A} - \lambda {\it I}){\it x} = {\it b} using a Lanczos ") - (text . "algorithm, where {\it A} is an {\it n} by {\it n} sparse ") - (text . "symmetric matrix, {\it x} is an {\it n} vector of unknowns ") - (text . "and {\it b} is an {\it n} element right-hand side vector. ") - (text . "\blankline") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Enter the order {\it n} of matrix {\it A}: ") - (text . "\newline \tab{2} ") - (bcStrings (10 10 n PI)) - (text . "\blankline") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Is preconditioning required? ") - (radioButtons precon - ("" " Yes" true) - ("" " No" false)) - (text . "\blankline") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Enter the shift in the equations \lambda, {\it shift} : ") - (text . "\newline \tab{2} ") - (bcStrings (10 "0.0" shift F)) - (text . "\blankline") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Enter the tolerance for convergence, {\it rtol}: ") - (text . "\newline \tab{2} ") - (bcStrings (10 "0.00001" rtol F)) - (text . "\blankline") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Enter an upper limit for the number of iterations, {\it itnlim}: ") - (text . "\newline \tab{2} ") - (bcStrings (10 100 itnlim PI)) - (text . "\blankline") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Enter the printing level, {\it msglvl}: ") - (text . "\newline \tab{2} ") - (bcStrings (10 1 msglvl PI)) - (text . "\blankline") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Ifail value: ") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'f04mbfSolve) - htShowPage() - -f04mbfSolve htPage == - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - msolve := htpButtonValue(htPage,'precon) - precon := - msolve = 'true => 'true - 'false - shift := htpLabelInputString(htPage,'shift) - rtol := htpLabelInputString(htPage,'rtol) - itnlim := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'itnlim) - objValUnwrap htpLabelSpadValue(htPage, 'itnlim) - msglvl := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'msglvl) - objValUnwrap htpLabelSpadValue(htPage, 'msglvl) - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - (n = '10 and precon ='true) => f04mbfDefaultSolve(htPage,shift,rtol,itnlim,msglvl,ifail) - bmatList := - "append"/[f(i) for i in 1..n] where f(i) == - bnam := INTERN STRCONC ('"b",STRINGIMAGE i) - [['bcStrings,[6, "0.0", bnam, 'F]]] - amatList := - "append"/[h(ia,n) for ia in 1..n] where h(ia,n) == - alabelList := - "append"/[k(ia,ja) for ja in 1..n] where k(ia,ja) == - anam := INTERN STRCONC ('"a",STRINGIMAGE ia,STRINGIMAGE ja) - [['bcStrings,[6, "0.0", anam, 'F]]] - prefix := ('"\newline \tab{2} ") - alabelList := [['text,:prefix],:alabelList] - start := ('"\blankline \menuitemstyle{}\tab{2} Enter the matrix {\it A}: ") - amatList := [['text,:start],:amatList] - mmatList:= - precon = 'true => - alabelList:= - "append"/[l(im,n) for im in 1..n] where l(im,n) == - mlabelList := - "append"/[o(im,jm) for jm in 1..n] where o(im,jm) == - mnam := INTERN STRCONC ('"m",STRINGIMAGE im,STRINGIMAGE jm) - [['bcStrings,[6, "0.0", mnam, 'F]]] - prefix := ('"\newline \tab{2} ") - mlabelList := [['text,:prefix],:mlabelList] - start := ('"\blankline \menuitemstyle{}\tab{2} Enter the matrix {\it m}: ") - [['text,:start],:alabelList] - [] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain F (Float))), - :bmatList,:amatList,:mmatList] - page := htInitPage('"F04MBF - Real sparse symmetric simultaneous linear equations",nil) - htSay '"\newline \menuitemstyle{}\tab{2} " - htSay '"Enter the right-hand side vector {\it b(n)}: " - htSay '"\newline \tab{2} " - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'f04mbfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'precon,precon) - htpSetProperty(page,'shift,shift) - htpSetProperty(page,'rtol,rtol) - htpSetProperty(page,'itnlim,itnlim) - htpSetProperty(page,'msglvl,msglvl) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -f04mbfDefaultSolve (htPage,shift,rtol,itnlim,msglvl,ifail) == - n := '10 - precon := 'true - page := htInitPage('"F04MBF - Real sparse symmetric simultaneous linear equations",nil) - htMakePage '( - (domainConditions - (isDomain F (Float))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Enter the right-hand side vector {\it b(n)}: ") - (text . "\newline \tab{2} ") - (bcStrings (6 "6.0" b1 F)) - (bcStrings (6 "4.0" b2 F)) - (bcStrings (6 "4.0" b3 F)) - (bcStrings (6 "4.0" b4 F)) - (bcStrings (6 "4.0" b5 F)) - (bcStrings (6 "4.0" b6 F)) - (bcStrings (6 "4.0" b7 F)) - (bcStrings (6 "4.0" b8 F)) - (bcStrings (6 "4.0" b9 F)) - (bcStrings (6 "6.0" b10 F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Enter the matrix {\it A}: ") - (text . "\newline \tab{2} ") - (bcStrings (6 "2.0" a11 F)) - (bcStrings (6 "1.0" a12 F)) - (bcStrings (6 "0.0" a13 F)) - (bcStrings (6 "0.0" a14 F)) - (bcStrings (6 "0.0" a15 F)) - (bcStrings (6 "0.0" a16 F)) - (bcStrings (6 "0.0" a17 F)) - (bcStrings (6 "0.0" a18 F)) - (bcStrings (6 "0.0" a19 F)) - (bcStrings (6 "3.0" a110 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "1.0" a21 F)) - (bcStrings (6 "2.0" a22 F)) - (bcStrings (6 "1.0" a23 F)) - (bcStrings (6 "0.0" a24 F)) - (bcStrings (6 "0.0" a25 F)) - (bcStrings (6 "0.0" a26 F)) - (bcStrings (6 "0.0" a27 F)) - (bcStrings (6 "0.0" a28 F)) - (bcStrings (6 "0.0" a29 F)) - (bcStrings (6 "0.0" a210 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" a31 F)) - (bcStrings (6 "1.0" a32 F)) - (bcStrings (6 "2.0" a33 F)) - (bcStrings (6 "1.0" a34 F)) - (bcStrings (6 "0.0" a35 F)) - (bcStrings (6 "0.0" a36 F)) - (bcStrings (6 "0.0" a37 F)) - (bcStrings (6 "0.0" a38 F)) - (bcStrings (6 "0.0" a39 F)) - (bcStrings (6 "0.0" a310 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" a41 F)) - (bcStrings (6 "0.0" a42 F)) - (bcStrings (6 "1.0" a43 F)) - (bcStrings (6 "2.0" a44 F)) - (bcStrings (6 "1.0" a45 F)) - (bcStrings (6 "0.0" a46 F)) - (bcStrings (6 "0.0" a47 F)) - (bcStrings (6 "0.0" a48 F)) - (bcStrings (6 "0.0" a49 F)) - (bcStrings (6 "0.0" a410 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" a51 F)) - (bcStrings (6 "0.0" a52 F)) - (bcStrings (6 "0.0" a53 F)) - (bcStrings (6 "1.0" a54 F)) - (bcStrings (6 "2.0" a55 F)) - (bcStrings (6 "1.0" a56 F)) - (bcStrings (6 "0.0" a57 F)) - (bcStrings (6 "0.0" a58 F)) - (bcStrings (6 "0.0" a59 F)) - (bcStrings (6 "0.0" a510 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" a61 F)) - (bcStrings (6 "0.0" a62 F)) - (bcStrings (6 "0.0" a63 F)) - (bcStrings (6 "0.0" a64 F)) - (bcStrings (6 "1.0" a65 F)) - (bcStrings (6 "2.0" a66 F)) - (bcStrings (6 "1.0" a67 F)) - (bcStrings (6 "0.0" a68 F)) - (bcStrings (6 "0.0" a69 F)) - (bcStrings (6 "0.0" a610 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" a71 F)) - (bcStrings (6 "0.0" a72 F)) - (bcStrings (6 "0.0" a73 F)) - (bcStrings (6 "0.0" a74 F)) - (bcStrings (6 "0.0" a75 F)) - (bcStrings (6 "1.0" a76 F)) - (bcStrings (6 "2.0" a77 F)) - (bcStrings (6 "1.0" a78 F)) - (bcStrings (6 "0.0" a79 F)) - (bcStrings (6 "0.0" a710 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" a81 F)) - (bcStrings (6 "0.0" a82 F)) - (bcStrings (6 "0.0" a83 F)) - (bcStrings (6 "0.0" a84 F)) - (bcStrings (6 "0.0" a85 F)) - (bcStrings (6 "0.0" a86 F)) - (bcStrings (6 "1.0" a87 F)) - (bcStrings (6 "2.0" a88 F)) - (bcStrings (6 "1.0" a89 F)) - (bcStrings (6 "0.0" a810 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" a91 F)) - (bcStrings (6 "0.0" a92 F)) - (bcStrings (6 "0.0" a93 F)) - (bcStrings (6 "0.0" a94 F)) - (bcStrings (6 "0.0" a95 F)) - (bcStrings (6 "0.0" a96 F)) - (bcStrings (6 "0.0" a97 F)) - (bcStrings (6 "1.0" a98 F)) - (bcStrings (6 "2.0" a99 F)) - (bcStrings (6 "1.0" a910 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "3.0" a101 F)) - (bcStrings (6 "0.0" a102 F)) - (bcStrings (6 "0.0" a103 F)) - (bcStrings (6 "0.0" a104 F)) - (bcStrings (6 "0.0" a105 F)) - (bcStrings (6 "0.0" a106 F)) - (bcStrings (6 "0.0" a107 F)) - (bcStrings (6 "0.0" a108 F)) - (bcStrings (6 "1.0" a109 F)) - (bcStrings (6 "2.0" a1010 F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Enter the matrix {\it m}: ") - (text . "\newline \tab{2} ") - (bcStrings (6 "2.0" m11 F)) - (bcStrings (6 "1.0" m12 F)) - (bcStrings (6 "0.0" m13 F)) - (bcStrings (6 "0.0" m14 F)) - (bcStrings (6 "0.0" m15 F)) - (bcStrings (6 "0.0" m16 F)) - (bcStrings (6 "0.0" m17 F)) - (bcStrings (6 "0.0" m18 F)) - (bcStrings (6 "0.0" m19 F)) - (bcStrings (6 "0.0" m110 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "1.0" m21 F)) - (bcStrings (6 "2.0" m22 F)) - (bcStrings (6 "1.0" m23 F)) - (bcStrings (6 "0.0" m24 F)) - (bcStrings (6 "0.0" m25 F)) - (bcStrings (6 "0.0" m26 F)) - (bcStrings (6 "0.0" m27 F)) - (bcStrings (6 "0.0" m28 F)) - (bcStrings (6 "0.0" m29 F)) - (bcStrings (6 "0.0" m210 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" m31 F)) - (bcStrings (6 "1.0" m32 F)) - (bcStrings (6 "2.0" m33 F)) - (bcStrings (6 "1.0" m34 F)) - (bcStrings (6 "0.0" m35 F)) - (bcStrings (6 "0.0" m36 F)) - (bcStrings (6 "0.0" m37 F)) - (bcStrings (6 "0.0" m38 F)) - (bcStrings (6 "0.0" m39 F)) - (bcStrings (6 "0.0" m310 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" m41 F)) - (bcStrings (6 "0.0" m42 F)) - (bcStrings (6 "1.0" m43 F)) - (bcStrings (6 "2.0" m44 F)) - (bcStrings (6 "1.0" m45 F)) - (bcStrings (6 "0.0" m46 F)) - (bcStrings (6 "0.0" m47 F)) - (bcStrings (6 "0.0" m48 F)) - (bcStrings (6 "0.0" m49 F)) - (bcStrings (6 "0.0" m410 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" m51 F)) - (bcStrings (6 "0.0" m52 F)) - (bcStrings (6 "0.0" m53 F)) - (bcStrings (6 "1.0" m54 F)) - (bcStrings (6 "2.0" m55 F)) - (bcStrings (6 "1.0" m56 F)) - (bcStrings (6 "0.0" m57 F)) - (bcStrings (6 "0.0" m58 F)) - (bcStrings (6 "0.0" m59 F)) - (bcStrings (6 "0.0" m510 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" m61 F)) - (bcStrings (6 "0.0" m62 F)) - (bcStrings (6 "0.0" m63 F)) - (bcStrings (6 "0.0" m64 F)) - (bcStrings (6 "1.0" m65 F)) - (bcStrings (6 "2.0" m66 F)) - (bcStrings (6 "1.0" m67 F)) - (bcStrings (6 "0.0" m68 F)) - (bcStrings (6 "0.0" m69 F)) - (bcStrings (6 "0.0" m610 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" m71 F)) - (bcStrings (6 "0.0" m72 F)) - (bcStrings (6 "0.0" m73 F)) - (bcStrings (6 "0.0" m74 F)) - (bcStrings (6 "0.0" m75 F)) - (bcStrings (6 "1.0" m76 F)) - (bcStrings (6 "2.0" m77 F)) - (bcStrings (6 "1.0" m78 F)) - (bcStrings (6 "0.0" m79 F)) - (bcStrings (6 "0.0" m710 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" m81 F)) - (bcStrings (6 "0.0" m82 F)) - (bcStrings (6 "0.0" m83 F)) - (bcStrings (6 "0.0" m84 F)) - (bcStrings (6 "0.0" m85 F)) - (bcStrings (6 "0.0" m86 F)) - (bcStrings (6 "1.0" m87 F)) - (bcStrings (6 "2.0" m88 F)) - (bcStrings (6 "1.0" m89 F)) - (bcStrings (6 "0.0" m810 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" m91 F)) - (bcStrings (6 "0.0" m92 F)) - (bcStrings (6 "0.0" m93 F)) - (bcStrings (6 "0.0" m94 F)) - (bcStrings (6 "0.0" m95 F)) - (bcStrings (6 "0.0" m96 F)) - (bcStrings (6 "0.0" m97 F)) - (bcStrings (6 "1.0" m98 F)) - (bcStrings (6 "2.0" m99 F)) - (bcStrings (6 "1.0" m910 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" m101 F)) - (bcStrings (6 "0.0" m102 F)) - (bcStrings (6 "0.0" m103 F)) - (bcStrings (6 "0.0" m104 F)) - (bcStrings (6 "0.0" m105 F)) - (bcStrings (6 "0.0" m106 F)) - (bcStrings (6 "0.0" m107 F)) - (bcStrings (6 "0.0" m108 F)) - (bcStrings (6 "1.0" m109 F)) - (bcStrings (6 "2.0" m1010 F)) - (text . "\blankline ")) - htMakeDoneButton('"Continue",'f04mbfGen) - htpSetProperty(page,'n,n) - htpSetProperty(page,'precon,precon) - htpSetProperty(page,'shift,shift) - htpSetProperty(page,'rtol,rtol) - htpSetProperty(page,'itnlim,itnlim) - htpSetProperty(page,'msglvl,msglvl) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -f04mbfGen htPage == - n := htpProperty(htPage,'n) - precon := htpProperty(htPage,'precon) - shift := htpProperty(htPage,'shift) - rtol := htpProperty(htPage,'rtol) - itnlim := htpProperty(htPage,'itnlim) - msglvl := htpProperty(htPage,'msglvl) - ifail := htpProperty(htPage,'ifail) - lrwork := '1 - liwork := '1 - alist := htpInputAreaAlist htPage - y := alist - if (precon = 'true) then - for i in 1..n repeat - for j in 1..n repeat - melm := STRCONC((first y).1," ") - mrowlist := [melm,:mrowlist] - y := rest y - matm := [mrowlist,:matm] - mrowlist := [] - mstring := bcwords2liststring [bcwords2liststring x for x in matm] - for k in 1..n repeat - for l in 1..n repeat - aelm := STRCONC((first y).1," ") - arowlist := [aelm,:arowlist] - y := rest y - mata := [arowlist,:mata] - arowlist := [] - astring := bcwords2liststring [bcwords2liststring y for y in mata] - for z in 1..n repeat - belm := STRCONC((first y).1," ") - blist := [belm,:blist] - y := rest y - bstring := bcwords2liststring blist - if (precon = 'false) then - mstring := astring - prefix := STRCONC('"f04mbf(",STRINGIMAGE n,",[",bstring,"]::Matrix DoubleFloat,",precon,",") - prefix := STRCONC(prefix,STRINGIMAGE shift,",",STRINGIMAGE itnlim,",",STRINGIMAGE msglvl,",") - prefix := STRCONC(prefix,STRINGIMAGE lrwork,",",STRINGIMAGE liwork,",") - prefix := STRCONC(prefix,STRINGIMAGE rtol,",",STRINGIMAGE ifail,",((") - prefix := STRCONC(prefix,astring,"::Matrix MachineFloat)::ASP28(APROD)),((") - prefix := STRCONC(prefix,mstring,"::Matrix MachineFloat)::ASP34(MSOLVE)))") - linkGen prefix - - --- f04qaf() == --- htInitPage('"F04QAF - Solution of sparse unsymmetric equations, linear and damped least-squares problems using a Lanczos algorithm",nil) --- htMakePage '( --- (domainConditions --- (isDomain EM $EmptyMode) --- (isDomain F (Float))) --- (text . "\windowlink{Manual Page}{manpageXXf04qaf} for this routine ") --- (text . "\newline ") --- (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f04qaf| '|NagLinearEquationSolvingPackage|)} for this routine") --- (text . "\newline \horizontalline ") --- (text . "\newline ") --- (text . "F04QAF solves sparse unsymmetric equations, sparse linear ") --- (text . "least-squares problems and sparse damped least-squares ") --- (text . "problems, using a Lanczos algorithm. Specifically, the ") --- (text . "routine can be used to solve a system of linear equations ") --- (text . "{\it Ax=b}, where {\it A} is an {\it n} by {\it n} real ") --- (text . "sparse unsymmetric matrix, or can be used to solve linear ") --- (text . "least-squares problems, so that it minimizes the the value ") --- (text . "{\htbitmap{newrho}} given by {\htbitmap{rho=r}}, ") --- (text . "{\it r=b-AX} where {\it A} is an {\it m} by {\it n} real ") --- (text . "sparse matrix. A damping parameter \lambda may ") --- (text . "be included in the least squares problem in which case the ") --- (text . "routine minimizes the value {\htbitmap{newrho}} given by ") --- (text . "{\htbitmap{rhosq=}}. \newline ") --- (text . "\blankline ") --- (text . "\menuitemstyle{}\tab{2}") --- (text . "\spadcommand{)read f04qaf \bound{s0}} ")) --- htShowPage() - --- f04mbf() == --- htInitPage('"F04MBF - Real sparse symmetric simultaneous linear equations",nil) --- htMakePage '( --- (domainConditions --- (isDomain EM $EmptyMode) --- (isDomain F (Float))) --- (text . "\windowlink{Manual Page}{manpageXXf04mbf} for this routine ") --- (text . "\newline ") --- (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f04mbf| '|NagLinearEquationSolvingPackage|)} for this routine") --- (text . "\newline \horizontalline ") --- (text . "\newline ") --- (text . "\newline ") --- (text . "F04MBF solve a system of real symmetric linear equations ") --- (text . "({\it A} - \lambda {\it I}){\it x} = {\it b} using a Lanczos ") --- (text . "algorithm, where {\it A} is an {\it n} by {\it n} sparse ") --- (text . "symmetric matrix, {\it x} is an {\it n} vector of unknowns ") --- (text . "and {\it b} is an {\it n} element right-hand side vector. ") --- (text . "\blankline") --- (text . "\newline ") --- (text . "\menuitemstyle{}\tab{2} ") --- (text . "\spadcommand{)read f04mbf \bound{s0}} ")) --- htShowPage() - -f04qaf() == - htInitPage('"F04QAF - Solution of sparse unsymmetric equations, linear and damped least-squares problems using a Lanczos algorithm",nil) - htMakePage '( - (domainConditions - (isDomain EM $EmptyMode) - (isDomain PI (PositiveInteger)) - (isDomain F (Float))) - (text . "\windowlink{Manual Page}{manpageXXf04qaf} for this routine ") - (text . "\newline ") - (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|f04qaf| '|NagLinearEquationSolvingPackage|)} for this routine") - (text . "\newline \horizontalline ") - (text . "\newline ") - (text . "F04QAF solves sparse unsymmetric equations, sparse linear ") - (text . "least-squares problems and sparse damped least-squares ") - (text . "problems, using a Lanczos algorithm. Specifically, the ") - (text . "routine can be used to solve a system of linear equations ") - (text . "{\it Ax=b}, where {\it A} is an {\it n} by {\it n} real ") - (text . "sparse unsymmetric matrix, or can be used to solve linear ") - (text . "least-squares problems, so that it minimizes the the value ") - (text . "{\htbitmap{newrho}} given by {\htbitmap{rho=r}}, ") - (text . "{\it r=b-AX} where {\it A} is an {\it m} by {\it n} real ") - (text . "sparse matrix. A damping parameter \lambda may ") - (text . "be included in the least squares problem in which case the ") - (text . "routine minimizes the value {\htbitmap{newrho}} given by ") - (text . "{\htbitmap{rhosq=}}. \newline ") - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the number of rows of the matrix {\it A}, {\it m}:") - (text . "\newline \tab{2}") - (bcStrings (10 13 m PI)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the number of columns of the matrix {\it A}, {\it n}:") - (text . "\newline \tab{2}") - (bcStrings (10 12 n PI)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the damping parameter \lambda, {\it damp}:") - (text . "\newline \tab{2}") - (bcStrings (10 "0.0" damp F)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the tolerance for elements of {\it A}, {\it atol}:") - (text . "\newline \tab{2}") - (bcStrings (10 "0.00001" atol F)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the tolerance for elements of {\it b}, {\it btol}:") - (text . "\newline \tab{2}") - (bcStrings (10 "0.0001" btol F)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the maximum number of iterations {\it itnlim}:") - (text . "\newline \tab{2}") - (bcStrings (10 100 itnlim PI)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Enter the printing level {\it msglvl}:") - (text . "\newline \tab{2}") - (bcStrings (10 1 msglvl PI)) - (text . "\blankline ") - (text . "\menuitemstyle{}\tab{2}") - (text . "Ifail value: ") - (radioButtons ifail - ("" " -1, Print error messages" minusOne) - ("" " 1, Suppress error messages" one))) - htMakeDoneButton('"Continue", 'f04qafSolve) - htShowPage() - -f04qafSolve htPage == - m := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'm) - objValUnwrap htpLabelSpadValue(htPage, 'm) - n := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n) - objValUnwrap htpLabelSpadValue(htPage, 'n) - damp := htpLabelInputString(htPage,'damp) - atol := htpLabelInputString(htPage,'atol) - btol := htpLabelInputString(htPage,'btol) - itnlim := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'itnlim) - objValUnwrap htpLabelSpadValue(htPage, 'itnlim) - msglvl := - $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'msglvl) - objValUnwrap htpLabelSpadValue(htPage, 'msglvl) - error := htpButtonValue(htPage,'ifail) - ifail := - error = 'one => '1 - '-1 - (m = '13 and n = '12) => f04qafDefaultSolve(htPage,damp,atol,btol,itnlim,msglvl,ifail) - bmatList := - "append"/[f(i) for i in 1..m] where f(i) == - bnam := INTERN STRCONC ('"b",STRINGIMAGE i) - [['bcStrings,[6, "0.0", bnam, 'F]]] - amatList := - "append"/[h(ia,n) for ia in 1..m] where h(ia,n) == - alabelList := - "append"/[k(ia,ja) for ja in 1..n] where k(ia,ja) == - anam := INTERN STRCONC ('"a",STRINGIMAGE ia,STRINGIMAGE ja) - [['bcStrings,[6, "0.0", anam, 'F]]] - prefix := ('"\newline \tab{2} ") - alabelList := [['text,:prefix],:alabelList] - start := ('"\blankline \menuitemstyle{}\tab{2} Enter the matrix {\it A}: ") - amatList := [['text,:start],:amatList] - equationPart := [ - '(domainConditions - (isDomain P (Polynomial $EmptyMode)) - (isDomain F (Float))), - :bmatList,:amatList] - page := htInitPage('"F04QAF - Solution of sparse unsymmetric equations, linear and damped least-squares problems using a Lanczos algorithm",nil) - htSay '"\newline \menuitemstyle{}\tab{2} " - htSay '"Enter the right-hand side vector {\it b(m)}: " - htSay '"\newline \tab{2} " - htMakePage equationPart - htSay '"\blankline " - htMakeDoneButton('"Continue",'f04qafGen) - htpSetProperty(page,'m,m) - htpSetProperty(page,'n,n) - htpSetProperty(page,'damp,damp) - htpSetProperty(page,'atol,atol) - htpSetProperty(page,'btol,btol) - htpSetProperty(page,'itnlim,itnlim) - htpSetProperty(page,'msglvl,msglvl) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - - - -f04qafDefaultSolve (htPage,damp,atol,btol,itnlim,msglvl,ifail) == - m := '13 - n := '12 - page := htInitPage('"F04QAF - Solution of sparse unsymmetric equations, linear and damped least-squares problems using a Lanczos algorithm",nil) - htMakePage '( - (domainConditions - (isDomain F (Float))) - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Enter the right-hand side vector {\it b(n)}: ") - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" b1 F)) - (bcStrings (6 "0.0" b2 F)) - (bcStrings (6 "0.0" b3 F)) - (bcStrings (6 "-0.01" b4 F)) - (bcStrings (6 "-0.01" b5 F)) - (bcStrings (6 "0.0" b6 F)) - (bcStrings (6 "0.0" b7 F)) - (bcStrings (6 "-0.01" b8 F)) - (bcStrings (6 "-0.01" b9 F)) - (bcStrings (6 "0.0" b10 F)) - (bcStrings (6 "0.0" b11 F)) - (bcStrings (6 "0.0" b12 F)) - (bcStrings (6 "10.0" b13 F)) - (text . "\blankline ") - (text . "\newline ") - (text . "\menuitemstyle{}\tab{2} ") - (text . "Enter the matrix {\it A}: ") - (text . "\newline \tab{2} ") - (bcStrings (6 "1.0" a0101 F)) - (bcStrings (6 "0.0" a0102 F)) - (bcStrings (6 "0.0" a0103 F)) - (bcStrings (6 "-1.0" a0104 F)) - (bcStrings (6 "0.0" a0105 F)) - (bcStrings (6 "0.0" a0106 F)) - (bcStrings (6 "0.0" a0107 F)) - (bcStrings (6 "0.0" a0108 F)) - (bcStrings (6 "0.0" a0109 F)) - (bcStrings (6 "0.0" a0110 F)) - (bcStrings (6 "0.0" a0111 F)) - (bcStrings (6 "0.0" a0112 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" a0201 F)) - (bcStrings (6 "1.0" a0202 F)) - (bcStrings (6 "0.0" a0203 F)) - (bcStrings (6 "0.0" a0204 F)) - (bcStrings (6 "-1.0" a0205 F)) - (bcStrings (6 "0.0" a0206 F)) - (bcStrings (6 "0.0" a0207 F)) - (bcStrings (6 "0.0" a0208 F)) - (bcStrings (6 "0.0" a0209 F)) - (bcStrings (6 "0.0" a0210 F)) - (bcStrings (6 "0.0" a0211 F)) - (bcStrings (6 "0.0" a0212 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" a0301 F)) - (bcStrings (6 "0.0" a0302 F)) - (bcStrings (6 "1.0" a0303 F)) - (bcStrings (6 "-1.0" a0304 F)) - (bcStrings (6 "0.0" a0305 F)) - (bcStrings (6 "0.0" a0306 F)) - (bcStrings (6 "0.0" a0307 F)) - (bcStrings (6 "0.0" a0308 F)) - (bcStrings (6 "0.0" a0309 F)) - (bcStrings (6 "0.0" a0310 F)) - (bcStrings (6 "0.0" a0311 F)) - (bcStrings (6 "0.0" a0312 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "-1.0" a0401 F)) - (bcStrings (6 "0.0" a0402 F)) - (bcStrings (6 "-1.0" a0403 F)) - (bcStrings (6 "4.0" a0404 F)) - (bcStrings (6 "-1.0" a0405 F)) - (bcStrings (6 "0.0" a0406 F)) - (bcStrings (6 "0.0" a0407 F)) - (bcStrings (6 "-1.0" a0408 F)) - (bcStrings (6 "0.0" a0409 F)) - (bcStrings (6 "0.0" a0410 F)) - (bcStrings (6 "0.0" a0411 F)) - (bcStrings (6 "0.0" a0412 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" a0501 F)) - (bcStrings (6 "-1.0" a0502 F)) - (bcStrings (6 "0.0" a0503 F)) - (bcStrings (6 "-1.0" a0504 F)) - (bcStrings (6 "4.0" a0505 F)) - (bcStrings (6 "-1.0" a0506 F)) - (bcStrings (6 "0.0" a0507 F)) - (bcStrings (6 "0.0" a0508 F)) - (bcStrings (6 "-1.0" a0509 F)) - (bcStrings (6 "0.0" a0510 F)) - (bcStrings (6 "0.0" a0511 F)) - (bcStrings (6 "0.0" a0512 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" a0601 F)) - (bcStrings (6 "0.0" a0602 F)) - (bcStrings (6 "0.0" a0603 F)) - (bcStrings (6 "0.0" a0604 F)) - (bcStrings (6 "-1.0" a0605 F)) - (bcStrings (6 "1.0" a0606 F)) - (bcStrings (6 "0.0" a0607 F)) - (bcStrings (6 "0.0" a0608 F)) - (bcStrings (6 "0.0" a0609 F)) - (bcStrings (6 "0.0" a0610 F)) - (bcStrings (6 "0.0" a0611 F)) - (bcStrings (6 "0.0" a0612 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" a0701 F)) - (bcStrings (6 "0.0" a0702 F)) - (bcStrings (6 "0.0" a0703 F)) - (bcStrings (6 "0.0" a0704 F)) - (bcStrings (6 "0.0" a0705 F)) - (bcStrings (6 "0.0" a0706 F)) - (bcStrings (6 "1.0" a0707 F)) - (bcStrings (6 "-1.0" a0708 F)) - (bcStrings (6 "0.0" a0709 F)) - (bcStrings (6 "0.0" a0710 F)) - (bcStrings (6 "0.0" a0711 F)) - (bcStrings (6 "0.0" a0712 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" a0801 F)) - (bcStrings (6 "0.0" a0802 F)) - (bcStrings (6 "0.0" a0803 F)) - (bcStrings (6 "-1.0" a0804 F)) - (bcStrings (6 "0.0" a0805 F)) - (bcStrings (6 "0.0" a0806 F)) - (bcStrings (6 "-1.0" a0807 F)) - (bcStrings (6 "4.0" a0808 F)) - (bcStrings (6 "-1.0" a0809 F)) - (bcStrings (6 "0.0" a0810 F)) - (bcStrings (6 "-1.0" a0811 F)) - (bcStrings (6 "0.0" a0812 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" a0901 F)) - (bcStrings (6 "0.0" a0902 F)) - (bcStrings (6 "0.0" a0903 F)) - (bcStrings (6 "0.0" a0904 F)) - (bcStrings (6 "-1.0" a0905 F)) - (bcStrings (6 "0.0" a0906 F)) - (bcStrings (6 "0.0" a0907 F)) - (bcStrings (6 "-1.0" a0908 F)) - (bcStrings (6 "4.0" a0909 F)) - (bcStrings (6 "-1.0" a0910 F)) - (bcStrings (6 "0.0" a0911 F)) - (bcStrings (6 "-1.0" a0912 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" a1001 F)) - (bcStrings (6 "0.0" a1002 F)) - (bcStrings (6 "0.0" a1003 F)) - (bcStrings (6 "0.0" a1004 F)) - (bcStrings (6 "0.0" a1005 F)) - (bcStrings (6 "0.0" a1006 F)) - (bcStrings (6 "0.0" a1007 F)) - (bcStrings (6 "0.0" a1008 F)) - (bcStrings (6 "-1.0" a1009 F)) - (bcStrings (6 "1.0" a1010 F)) - (bcStrings (6 "0.0" a1011 F)) - (bcStrings (6 "0.0" a1012 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" a1101 F)) - (bcStrings (6 "0.0" a1102 F)) - (bcStrings (6 "0.0" a1103 F)) - (bcStrings (6 "0.0" a1104 F)) - (bcStrings (6 "0.0" a1105 F)) - (bcStrings (6 "0.0" a1106 F)) - (bcStrings (6 "0.0" a1107 F)) - (bcStrings (6 "-1.0" a1108 F)) - (bcStrings (6 "0.0" a1109 F)) - (bcStrings (6 "0.0" a1110 F)) - (bcStrings (6 "1.0" a1111 F)) - (bcStrings (6 "0.0" a1112 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "0.0" a1201 F)) - (bcStrings (6 "0.0" a1202 F)) - (bcStrings (6 "0.0" a1203 F)) - (bcStrings (6 "0.0" a1204 F)) - (bcStrings (6 "0.0" a1205 F)) - (bcStrings (6 "0.0" a1206 F)) - (bcStrings (6 "0.0" a1207 F)) - (bcStrings (6 "0.0" a1208 F)) - (bcStrings (6 "-1.0" a1209 F)) - (bcStrings (6 "0.0" a1210 F)) - (bcStrings (6 "0.0" a1211 F)) - (bcStrings (6 "1.0" a1212 F)) - (text . "\newline \tab{2} ") - (bcStrings (6 "1.0" a1301 F)) - (bcStrings (6 "1.0" a1302 F)) - (bcStrings (6 "1.0" a1303 F)) - (bcStrings (6 "0.0" a1304 F)) - (bcStrings (6 "0.0" a1305 F)) - (bcStrings (6 "1.0" a1306 F)) - (bcStrings (6 "1.0" a1307 F)) - (bcStrings (6 "0.0" a1308 F)) - (bcStrings (6 "0.0" a1309 F)) - (bcStrings (6 "1.0" a1310 F)) - (bcStrings (6 "1.0" a1311 F)) - (bcStrings (6 "1.0" a1312 F)) - (text . "\blankline ")) - htMakeDoneButton('"Continue",'f04qafGen) - htpSetProperty(page,'m,m) - htpSetProperty(page,'n,n) - htpSetProperty(page,'damp,damp) - htpSetProperty(page,'atol,atol) - htpSetProperty(page,'btol,btol) - htpSetProperty(page,'itnlim,itnlim) - htpSetProperty(page,'msglvl,msglvl) - htpSetProperty(page,'ifail,ifail) - htpSetProperty(page,'inputArea, htpInputAreaAlist htPage) - htShowPage() - -f04qafGen htPage == - m := htpProperty(htPage,'m) - n := htpProperty(htPage,'n) - damp := htpProperty(htPage,'damp) - atol := htpProperty(htPage,'atol) - btol := htpProperty(htPage,'btol) - divisor := READ_-FROM_-STRING(atol) - if (divisor < 1.0e-7) then divisor:=1.0e-7 - conlim := 1.0/divisor - itnlim := htpProperty(htPage,'itnlim) - msglvl := htpProperty(htPage,'msglvl) - ifail := htpProperty(htPage,'ifail) - lrwork := 1 - liwork := 1 - alist := htpInputAreaAlist htPage - y := alist - for k in 1..m repeat - for l in 1..n repeat - aelm := STRCONC((first y).1," ") - arowlist := [aelm,:arowlist] - y := rest y - mata := [arowlist,:mata] - arowlist := [] - astring := bcwords2liststring [bcwords2liststring y for y in mata] - for z in 1..m repeat - belm := STRCONC((first y).1," ") - blist := [belm,:blist] - y := rest y - bstring := bcwords2liststring blist - prefix := STRCONC('"f04qaf(",STRINGIMAGE m,",",STRINGIMAGE n,",") - prefix := STRCONC(prefix,STRINGIMAGE damp,",") - prefix := STRCONC(prefix,STRINGIMAGE atol,",",STRINGIMAGE btol,",") - prefix := STRCONC(prefix,STRINGIMAGE conlim,",",STRINGIMAGE itnlim,",",STRINGIMAGE msglvl,",") - prefix := STRCONC(prefix,STRINGIMAGE lrwork,",",STRINGIMAGE liwork,",") - prefix := STRCONC(prefix,"[",bstring,"]::Matrix DoubleFloat,") - prefix := STRCONC(prefix,STRINGIMAGE ifail,",((",astring,"::Matrix MachineFloat)::ASP30(APROD)))") - linkGen prefix - - - - - -@ -\eject -\begin{thebibliography}{99} -\bibitem{1} nothing -\end{thebibliography} -\end{document} |