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authordos-reis <gdr@axiomatics.org>2007-08-14 05:14:52 +0000
committerdos-reis <gdr@axiomatics.org>2007-08-14 05:14:52 +0000
commitab8cc85adde879fb963c94d15675783f2cf4b183 (patch)
treec202482327f474583b750b2c45dedfc4e4312b1d /src/algebra/f07.spad.pamphlet
downloadopen-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz
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+\documentclass{article}
+\usepackage{axiom}
+\begin{document}
+\title{\$SPAD/src/algebra f07.spad}
+\author{Godfrey Nolan, Mike Dewar}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\section{package NAGF07 NagLapack}
+<<package NAGF07 NagLapack>>=
+)abbrev package NAGF07 NagLapack
+++ Author: Godfrey Nolan and Mike Dewar
+++ Date Created: Jan 1994
+++ Date Last Updated: Thu May 12 17:45:42 1994
+++Description:
+++This package uses the NAG Library to compute matrix
+++factorizations, and to solve systems of linear equations
+++following the matrix factorizations.
+++See \downlink{Manual Page}{manpageXXf07}.
+NagLapack(): Exports == Implementation where
+ S ==> Symbol
+ FOP ==> FortranOutputStackPackage
+
+ Exports ==> with
+ f07adf : (Integer,Integer,Integer,Matrix DoubleFloat) -> Result
+ ++ f07adf(m,n,lda,a)
+ ++ (DGETRF) computes the LU factorization of a real m by n
+ ++ matrix.
+ ++ See \downlink{Manual Page}{manpageXXf07adf}.
+ f07aef : (String,Integer,Integer,Matrix DoubleFloat,_
+ Integer,Matrix Integer,Integer,Matrix DoubleFloat) -> Result
+ ++ f07aef(trans,n,nrhs,a,lda,ipiv,ldb,b)
+ ++ (DGETRS) solves a real system of linear equations with
+ ++ T
+ ++ multiple right-hand sides, AX=B or A X=B, where A has been
+ ++ factorized by F07ADF (DGETRF).
+ ++ See \downlink{Manual Page}{manpageXXf07aef}.
+ f07fdf : (String,Integer,Integer,Matrix DoubleFloat) -> Result
+ ++ f07fdf(uplo,n,lda,a)
+ ++ (DPOTRF) computes the Cholesky factorization of a real
+ ++ symmetric positive-definite matrix.
+ ++ See \downlink{Manual Page}{manpageXXf07fdf}.
+ f07fef : (String,Integer,Integer,Matrix DoubleFloat,_
+ Integer,Integer,Matrix DoubleFloat) -> Result
+ ++ f07fef(uplo,n,nrhs,a,lda,ldb,b)
+ ++ (DPOTRS) solves a real symmetric positive-definite system
+ ++ of linear equations with multiple right-hand sides, AX=B, where A
+ ++ has been factorized by F07FDF (DPOTRF).
+ ++ See \downlink{Manual Page}{manpageXXf07fef}.
+ Implementation ==> add
+
+ import Lisp
+ import DoubleFloat
+ import Any
+ import Record
+ import Integer
+ import Matrix DoubleFloat
+ import Boolean
+ import NAGLinkSupportPackage
+ import AnyFunctions1(Integer)
+ import AnyFunctions1(Matrix DoubleFloat)
+ import AnyFunctions1(String)
+ import AnyFunctions1(Matrix Integer)
+
+
+ f07adf(mArg:Integer,nArg:Integer,ldaArg:Integer,_
+ aArg:Matrix DoubleFloat): Result ==
+ [(invokeNagman(NIL$Lisp,_
+ "f07adf",_
+ ["m"::S,"n"::S,"lda"::S,"info"::S,"ipiv"::S,"a"::S]$Lisp,_
+ ["ipiv"::S,"info"::S]$Lisp,_
+ [["double"::S,["a"::S,"lda"::S,"n"::S]$Lisp_
+ ]$Lisp_
+ ,["integer"::S,"m"::S,"n"::S,"lda"::S,["ipiv"::S,"m"::S]$Lisp_
+ ,"info"::S]$Lisp_
+ ]$Lisp,_
+ ["ipiv"::S,"info"::S,"a"::S]$Lisp,_
+ [([mArg::Any,nArg::Any,ldaArg::Any,aArg::Any ])_
+ @List Any]$Lisp)$Lisp)_
+ pretend List (Record(key:Symbol,entry:Any))]$Result
+
+ f07aef(transArg:String,nArg:Integer,nrhsArg:Integer,_
+ aArg:Matrix DoubleFloat,ldaArg:Integer,ipivArg:Matrix Integer,_
+ ldbArg:Integer,bArg:Matrix DoubleFloat): Result ==
+ [(invokeNagman(NIL$Lisp,_
+ "f07aef",_
+ ["trans"::S,"n"::S,"nrhs"::S,"lda"::S,"ldb"::S_
+ ,"info"::S,"a"::S,"ipiv"::S,"b"::S]$Lisp,_
+ ["info"::S]$Lisp,_
+ [["double"::S,["a"::S,"lda"::S,"n"::S]$Lisp_
+ ,["b"::S,"ldb"::S,"nrhs"::S]$Lisp]$Lisp_
+ ,["integer"::S,"n"::S,"nrhs"::S,"lda"::S,["ipiv"::S,"n"::S]$Lisp_
+ ,"ldb"::S,"info"::S]$Lisp_
+ ,["character"::S,"trans"::S]$Lisp_
+ ]$Lisp,_
+ ["info"::S,"b"::S]$Lisp,_
+ [([transArg::Any,nArg::Any,nrhsArg::Any,ldaArg::Any,ldbArg::Any,aArg::Any,ipivArg::Any,bArg::Any ])_
+ @List Any]$Lisp)$Lisp)_
+ pretend List (Record(key:Symbol,entry:Any))]$Result
+
+ f07fdf(uploArg:String,nArg:Integer,ldaArg:Integer,_
+ aArg:Matrix DoubleFloat): Result ==
+ [(invokeNagman(NIL$Lisp,_
+ "f07fdf",_
+ ["uplo"::S,"n"::S,"lda"::S,"info"::S,"a"::S]$Lisp,_
+ ["info"::S]$Lisp,_
+ [["double"::S,["a"::S,"lda"::S,"n"::S]$Lisp_
+ ]$Lisp_
+ ,["integer"::S,"n"::S,"lda"::S,"info"::S]$Lisp_
+ ,["character"::S,"uplo"::S]$Lisp_
+ ]$Lisp,_
+ ["info"::S,"a"::S]$Lisp,_
+ [([uploArg::Any,nArg::Any,ldaArg::Any,aArg::Any ])_
+ @List Any]$Lisp)$Lisp)_
+ pretend List (Record(key:Symbol,entry:Any))]$Result
+
+ f07fef(uploArg:String,nArg:Integer,nrhsArg:Integer,_
+ aArg:Matrix DoubleFloat,ldaArg:Integer,ldbArg:Integer,_
+ bArg:Matrix DoubleFloat): Result ==
+ [(invokeNagman(NIL$Lisp,_
+ "f07fef",_
+ ["uplo"::S,"n"::S,"nrhs"::S,"lda"::S,"ldb"::S_
+ ,"info"::S,"a"::S,"b"::S]$Lisp,_
+ ["info"::S]$Lisp,_
+ [["double"::S,["a"::S,"lda"::S,"n"::S]$Lisp_
+ ,["b"::S,"ldb"::S,"nrhs"::S]$Lisp]$Lisp_
+ ,["integer"::S,"n"::S,"nrhs"::S,"lda"::S,"ldb"::S_
+ ,"info"::S]$Lisp_
+ ,["character"::S,"uplo"::S]$Lisp_
+ ]$Lisp,_
+ ["info"::S,"b"::S]$Lisp,_
+ [([uploArg::Any,nArg::Any,nrhsArg::Any,ldaArg::Any,ldbArg::Any,aArg::Any,bArg::Any ])_
+ @List Any]$Lisp)$Lisp)_
+ pretend List (Record(key:Symbol,entry:Any))]$Result
+
+@
+\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>>
+
+<<package NAGF07 NagLapack>>
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}