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Information about “LINPACK LIBRARY”
The Linear Equation Package (LINPACK) is a set of routines which solves
systems of linear equations and related problems. This package was
developed by the Applied Mathematics Division of Argonne National
Laboratory; this source code was taken from a distribution disk
provided by International Mathematics and Statistical Libraries, Inc.
(IMSL).
System Requirements: FORTRAN compiler, 256K memory, color
monitor, one drive, graphics card and printer.
How to Start: For instructions on FOR listings, refer to your FORTRAN
language manual. Consult the INDEX file to review the routines included
on this disk.
Suggested Registration: $10.00
File Descriptions:
SPOFA FOR real positive definite factor
SPPCO FOR real positive definite packed condition estimate
SPOSL FOR real positive definite solver
SCHEX FOR real Cholesky decomposition exchange
SCHDD FOR real Cholesky decomposition downdate
SCHDC FOR real Cholesky decomposition decompose
INDEX An index of all the routines on the library and driver dis
SPPDI FOR real positive definite packed determinant, inverse, inerti
SPPSL FOR real positive definite packed solver
SPPFA FOR real positive definite packed factor
SPODI FOR real positive definite determinant, inverse, inertia
SPOCO FOR real positive definite condition estimate
SPBSL FOR real positive definite banded solver
SPBFA FOR real positive definite banded factor
SPBDI FOR real positive definite banded determinant, inverse, inerti
SPBCO FOR real positive definite banded condition estimate
SGTSL FOR real general tridiagonal solver solver
SGESL FOR real general solver
SGEFA FOR real general factor
SGEDI FOR real general determinant, inverse, inertia
SGECO FOR real general condition estimate
SGBSL FOR real general band solver
SGBFA FOR real general band factor
SGBDI FOR real general band determinant, inverse, inertia
SGBCO FOR real general band condition estimate
SCHUD FOR real Cholesky decomposition update
SQRDC FOR real orthogonal triangular decompose
SPTSL FOR real positive definite tridiagonal solver
NOTES554 TXT A comprehensive writeup on use of these routines
SSWAP FOR |
SSCAL FOR |
SROTG FOR |
SROT FOR |
SSISL FOR real symmetric indefinite solver
SSIFA FOR real symmetric indefinite factor
SSIDI FOR real symmetric indefinite determinant, inverse,inertia
SSICO FOR real symmetric indefinite condition estimate
SQRTS FOR real orthogonal triangular
SQRSL FOR real orthogonal triangular solver
SNRM2 FOR |
SDOT FOR |
SCOPY FOR | metic calculations.
SAXPY FOR | library. These handle vector movement and arith-
SASUM FOR | from the "Basic Linear Algebraic Subroutine"
ISAMAX FOR | This and the following are the support routines
SMACH FOR Computes machine dependent parameters of floating
STRSL FOR real triangular solver
STRDI FOR real triangular determinant, inverse, inertia
STRCO FOR real triangular condition estimate
SSVDC FOR real singular value decomposition
SSPSL FOR real symmetric indefinite packed solver
SSPFA FOR real symmetric indefinite packed factor
SSPDI FOR real symmetric indefinite packed determinant, inverse, ine
SSPCO FOR real symmetric indefinite packed condition estimate
FILES554.TXT
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Disk No 554 LINPACK LIBRARY (FORTRAN PROGRAMS) v1 DS2
---------------------------------------------------------------------------
The Linear Equation Package (LINPACK) is a set of routines which solves
systems of linear equations and related problems. This package was
developed by the Applied Mathematics Division of Argonne National
Laboratory; this source code was taken from a distribution disk provided by
International Mathematics and Statistical Libraries, Inc. (IMSL).
INDEX An index of all the routines on the library and driver disks
SCH FOR Main routine/driver for testing the SCH routines.
SCHDC FOR real Cholesky decomposition decompose
SCHDD FOR real Cholesky decomposition downdate
SCHEX FOR real Cholesky decomposition exchange
SCHUD FOR real Cholesky decomposition update
SEX FOR Main routine/driver for testing the exchange routines.
SG FOR Main routine/driver for testing the SG routines.
SGBCO FOR real general band condition estimate
SGBDI FOR real general band determinant, inverse, inertia
SGBFA FOR real general band factor
SGBSL FOR real general band solver
SGECO FOR real general condition estimate
SGEDI FOR real general determinant, inverse, inertia
SGEFA FOR real general factor
SGESL FOR real general solver
SGT FOR Main routine/driver for testing the SGT routines.
SGTSL FOR real general tridiagonal solver solver
SP FOR Main routine/driver for testing the SP routines.
SPBCO FOR real positive definite banded condition estimate
SPBDI FOR real positive definite banded determinant, inverse,inertia
SPBFA FOR real positive definite banded factor
SPBSL FOR real positive definite banded solver
SPOCO FOR real positive definite condition estimate
SPODI FOR real positive definite determinant, inverse, inertia
SPOFA FOR real positive definite factor
SPOSL FOR real positive definite solver
SPPCO FOR real positive definite packed condition estimate
SPPDI FOR real positive definite packed determinant, inverse,inertia
SPPFA FOR real positive definite packed factor
SPPSL FOR real positive definite packed solver
SPTSL FOR real positive definite tridiagonal solver
SQR FOR Main routine/driver for testing the SQR routines.
SQRDC FOR real orthogonal triangular decompose
SQRSL FOR real orthogonal triangular solver
SQRTS FOR real orthogonal triangular
SS FOR Main routine/driver for testing the SS routines.
SSICO FOR real symmetric indefinite condition estimate
SSIDI FOR real symmetric indefinite determinant, inverse,inertia
SSIFA FOR real symmetric indefinite factor
SSISL FOR real symmetric indefinite solver
SSPCO FOR real symmetric indefinite packed condition estimate
SSPDI FOR real symmetric indefinite packed determinant, inverse, inertia
SSPFA FOR real symmetric indefinite packed factor
SSPSL FOR real symmetric indefinite packed solver
SSV FOR Main routine/driver for testing the SSV routines.
SSVDC FOR real singular value decomposition
ST FOR Main routine/driver for testing the ST routines.
STRCO FOR real triangular condition estimate
STRDI FOR real triangular determinant, inverse, inertia
STRSL FOR real triangular solver
SUD FOR This is the test driver for matrix update subs.
SMACH FOR Computes machine dependent parameters of floating
point arithmetic for use in testing only. It is
not required by LINPACK proper.
ISAMAX FOR | This and the following are the support routines
SASUM FOR | from the "Basic Linear Algebraic Subroutine"
SAXPY FOR | library. These handle vector movement and arith-
SCOPY FOR | metic calculations.
SDOT FOR |
SNRM2 FOR |
SROT FOR |
SROTG FOR |
SSCAL FOR |
SSWAP FOR |
NOTES554 TXT A comprehensive writeup on use of these routines
PC-SIG (Software Interest Group)
1030 East Duane Avenue, Suite D
Sunnyvale, CA 94086
(408) 730-9291
NOTES554.TXT
Program name: LINPACK LIBRARY
Author name: Argonne National Laboratory
Address: None given
Telephone Number: None given
Suggested Donation: None
Program Description:
The Linear Equation Package (LINPACK) is a set of routines which solves
systems of linear equations and related problems. This package was
developed by the Applied Mathematics Division of Argonne National Laboratory
through funding by the National Science Foundation and Department of Energy.
The original package was developed and tested on large machines over the
years 1976 through 1979. The source included on these diskettes was taken
from a distribution disk provided by International Mathematics and
Statistical Libraries, Inc. (IMSL).
An excerpt from the LINPACK USER'S GUIDE Introduction: "Many of the
subroutines deal with square coefficient matrices, where there are as many
equations as unknowns. Some of the subroutines process rectangular
coefficient matrices, where the system may be over- or under-determined.
Such systems are frequently encountered in least squares problems and other
statistical calculations. Different subroutines are intended to take
advantage of different special properties of the matrices and thereby save
computer time and storage."
The total package will handle equations in single, double, complex and
complex double precision arithmetic. For each data type, there are two
diskettes: test driver and linpack source. This diskette contains the
single precision version of the LINPACK library.
The driver disk contains a FORTRAN source and link file list (.LNK) for each
test set. The source for these drivers can be used to study the calling
sequences for the various routines. Since each driver has been successfully
tested under MS-DOS using Microsoft FORTRAN (V3.31), it is not necessary for
you to rebuild these executable modules. If you should, however, decide to
alter any routines, it would be best to test them using these drivers. The
.LNK files are used with the BUILDS.BAT file, so examine that file if you
wish to rebuild the test executables.
Each of the following test files was successfully constructed and executed:
SCH, SGT, SP, SQR, SS, SSV, ST, SG. Each driver evaluates those single
precision routines whose names begin with the same characters as the name of
the driver. The drivers SUD and SEX test the update and exchange routines
respectively.
The source disk contains the LINPACK routines along with several of the BLAS
routines. Each source file contains some information about usage, but a
fair amount of knowledge about the different techniques for solving systems
of equations is required. If you are unsure where to begin, try
implementing the SG* (single precision general) routines first since they do
not utilize any special storage techniques.
I offer the following list of references as a sample with which I am most
familiar; not necessarily the best, just the ones I know :
LINPACK USER'S GUIDE by Dongarra, Moler, Bunch and Stewart, published by
Society for Industrial and Applied Mathematics
This is "THE BOOK" written by the authors of the LINPACK system.
NUMERICAL METHODS by Ake Bjorck, published by Prentice-Hall
This book has everything, but it is definitely not easy reading. Any
university level book on the subject of numerical methods should
suffice.
THE THEORY OF MATRICES IN NUMERICAL ANALYSIS by Alston S. Householder,
published by Dover
This is an older, even more theoretical, work than the previous.
If you have any doubts about using these routines, you should at least have
the LINPACK USER'S GUIDE. Don't limit yourself, however, to these books as
there are a number of new, very readable textbooks which can be found at
most technical or university book stores.
See the "index" directory for an idea of the contents of this disk. If you
have any questions or criticisms of this package, please write me (Jeffrey
Fried) through the PC-SIG offices.
No system requirements are given.
Directory of PC-SIG Library Disk #0554
Volume in drive A has no label
Directory of A:\
FILES554 TXT 4203 6-11-86 10:39a
INDEX 5627 5-01-84 8:31p
ISAMAX FOR 825 1-01-84 7:34p
NOTES554 TXT 4224 6-08-86 2:52p
SASUM FOR 924 1-01-84 12:40p
SAXPY FOR 1192 1-01-84 12:39p
SCHDC FOR 7894 1-13-85 12:34p
SCHDD FOR 6051 1-13-85 12:34p
SCHEX FOR 7091 1-13-85 12:34p
SCHUD FOR 4521 1-13-85 12:34p
SCOPY FOR 1163 1-05-84 1:19p
SDOT FOR 1202 1-01-84 12:39p
SGBCO FOR 8482 1-01-84 12:20p
SGBDI FOR 1932 1-01-84 12:20p
SGBFA FOR 5345 1-01-84 12:20p
SGBSL FOR 3848 1-01-84 12:20p
SGECO FOR 5829 1-01-84 12:20p
SGEDI FOR 3630 1-01-84 7:37p
SGEFA FOR 2890 1-01-84 12:21p
SGESL FOR 3197 1-01-84 12:21p
SGTSL FOR 3285 1-13-85 11:33a
SMACH FOR 1391 1-01-84 12:37p
SNRM2 FOR 4461 1-20-84 12:37p
SPBCO FOR 7983 1-06-84 9:56p
SPBDI FOR 1713 1-06-84 9:56p
SPBFA FOR 2812 1-06-84 9:56p
SPBSL FOR 2167 1-06-84 9:56p
SPOCO FOR 6197 1-06-84 9:56p
SPODI FOR 3626 1-06-84 9:57p
SPOFA FOR 2033 1-06-84 9:57p
SPOSL FOR 1860 1-06-84 9:57p
SPPCO FOR 6874 1-06-84 9:57p
SPPDI FOR 3518 1-06-84 9:57p
SPPFA FOR 2448 1-06-84 9:57p
SPPSL FOR 1768 1-06-84 9:57p
SPTSL FOR 2500 1-06-84 9:56p
SQRDC FOR 7162 1-06-84 8:10p
SQRSL FOR 9187 1-05-84 12:33p
SQRTS FOR 14958 1-06-84 1:41p
SROT FOR 869 1-06-84 9:25p
SROTG FOR 644 1-06-84 9:02p
SSCAL FOR 916 1-07-84 8:31p
SSICO FOR 7689 1-07-84 8:30p
SSIDI FOR 6682 1-07-84 8:30p
SSIFA FOR 6573 1-07-84 8:30p
SSISL FOR 4198 1-07-84 8:30p
SSPCO FOR 8912 1-07-84 8:30p
SSPDI FOR 7642 1-07-84 8:31p
SSPFA FOR 8004 1-07-84 8:31p
SSPSL FOR 4473 1-07-84 8:31p
SSVDC FOR 15448 1-06-84 8:53p
SSWAP FOR 1280 1-07-84 8:31p
STRCO FOR 4862 1-12-84 8:59p
STRDI FOR 4460 1-12-84 8:59p
STRSL FOR 3881 1-12-84 9:01p
55 file(s) 252546 bytes
44032 bytes free