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Topic: LAPACK


In the News (Sun 20 Dec 09)

  
  LAPACK -- Linear Algebra PACKage
LAPACK addresses this problem by reorganizing the algorithms to use block matrix operations, such as matrix multiplication, in the innermost loops.
LAPACK routines are written so that as much as possible of the computation is performed by calls to the Basic Linear Algebra Subprograms (BLAS).
LAPACK improves on the accuracy of the standard algorithms # in EISPACK by including high accuracy algorithms for finding singular # values and eigenvalues of bidiagonal and tridiagonal matrices # respectively that arise in SVD and symmetric eigenvalue problems.
ftp.univie.ac.at /packages/lapack   (1482 words)

  
 [No title]
LAPACK is a transportable library of Fortran 77 subroutines for solving the most common problems in numerical linear algebra: systems of linear equations, linear least squares problems, eigenvalue problems, and singular value problems.
LAPACK improves on the accuracy of the standard algorithms in EISPACK by including high accuracy algorithms for finding singular valĀ­ ues and eigenvalues of bidiagonal and tridiagonal matrices respectively that arise in SVD and symmetric eigenvalue probĀ­ lems.
LAPACK Users' Guide gives an informal introduction to the design of the algorithms and software, summarizes the contents of the package, and describes the conventions used in the software and documentation, and includes complete specifications for calling the routines.
www.ibiblio.org /gferg/ldp/man/manl/lapack.l.html   (842 words)

  
 Lapack++: Lapack++ v2.5.0 API Documentation
Some similar functionality as in LAPACK++ is offered by the library IT++, see http://itpp.sourceforge.net/, but one important high-performance feature missing in IT++ is the ability to create "submatrix views" and "shallow copies" of matrices, i.e.
Documentation for the underlying LAPACK (without the '++') package can be found on http://www.netlib.org/lapack and a search engine is on http://www.cs.colorado.edu/~lapack, but please keep in mind that these are only the underlying libraries, not Lapack++ itself.
LAPACK routines in turn are written so that as much as possible of the computation is performed by calls to the Basic Linear Algebra Subprograms (BLAS).
lapackpp.sourceforge.net   (998 words)

  
 LAPACK -- a linear algebra package for high-performance computers   (Site not responding. Last check: 2007-11-07)
LAPACK is a library of Fortran 77 routines for solving the most commonly occurring problems in numerical linear algebra.
A number of technical reports were written during the development of LAPACK and published as LAPACK Working Notes, initially by Argonne National Laboratory and later by the University of Tennessee.
LAPACK, version 2.0 LAPACK Users' Guide, Second Edition DATE: September 30, 1994 LAPACK is a library of numerical linear algebra subroutines designed for high performance on workstations, vector computers, and shared memory multiprocessors.
www-acs.ucsd.edu /offerings/userhelp/OLD_HTML/lapack,d.html   (1383 words)

  
 lapack   (Site not responding. Last check: 2007-11-07)
The LAPACK library became available worldwide in the spring of 1992, and was installed here at the Technion around the end of the year.
LAPACK is intended to be the successor to LINPACK and EISPACK.
LAPACK also improves on the accuracy of standard algorithms for linear systems, for finding singular values and singular vectors of bidiagonal matrices, and for finding eigenvalues and eigenvectors of tridiagonal matrices.
www.technion.ac.il /technion/tcc/usg/Guides/lapack.htm   (599 words)

  
 LAPACK   (Site not responding. Last check: 2007-11-07)
LAPACK stands for Linear Algebra Package, and is a freely available package for the solution of dense and banded linear algebra problems aimed at PCs, workstations, and shared memory high-performance computers.
Many of the algorithms utilised by LAPACK were restructured into block-partitioned algorithms so that the Level 3 BLAS [3], aimed at matrix-matrix operations, could be used wherever possible for the computationally intense parts of the algorithms.
By using LAPACK, users of SLICOT benefit from state of the art, numerically stable, efficient and reliable software for linear algebra, thus increasing the robustness and the efficiency of the control methods.
www.win.tue.nl /wgs/NEWSLETTER/NEWSL12/node15.html   (178 words)

  
 FreshPorts -- math/lapack
LAPACK is a library of Fortran 77 subroutines for solving the most commonly occurring problems in numerical linear algebra.
LAPACK is available on netlib and can be obtained via the World Wide Web and anonymous ftp.
The Fortran90 interface to LAPACK is available, as well as an f2c'ed version of LAPACK, and a C++ version of a subset of LAPACK routines.
www.freshports.org /math/lapack   (420 words)

  
 Serious Math: Optimizing LAPACK and FFTs
LAPACK (pronounced lay-pack) is a well-known linear algebra library originally written for FORTRAN 77.
Software that uses the LAPACK routines can be certain that the math will follow a specific set of well-documented and well-tested algorithms, resulting in repeatable results that are consistent across execution platforms.
As with all other LAPACK implementations, the developers have worked to ensure that the computational results will be identical to that of the original FORTRAN 77 reference implementation.
www.devx.com /amd/Article/29332   (1542 words)

  
 NAG Announces LAPACK Example Programs
Newly created example programs for LAPACK, (a library of numerical linear algebra subroutines designed for high performance on workstations, vector computers and shared memory processors), have been released by the Numerical Algorithms Group (NAG).
LAPACK (Linear Algebra PACKage) provides routines for solving systems of simultaneous linear equations, linear least-squares problems, eigenvalue problems, and singular value problems.
LAPACK is intended for dense and banded matrices, but not general sparse matrices.
www.nag.co.uk /Market/articles/prlapack.asp   (382 words)

  
 LAPACK   (Site not responding. Last check: 2007-11-07)
LAPACK is a free, portable, modern (1990) library of Fortran 77 routines for solving the most common problems in numerical linear algebra: linear systems of equations, eigenvalues and eigenvectors, linear least squares, and singular value decomposition.
It is designed to be efficient on a wide range of high-performance computers, under the proviso that the hardware vendor has implemented an efficient set of BLAS (Basic Linear Algebra Subroutines).
Source code: LAPACK source is available from Netlib's lapack directory.
www.cisl.ucar.edu /softlib/LAPACK.html   (287 words)

  
 Research Computing Technologies
LAPACK is a library of Fortran 77 subroutines for solving the most common problems in numerical linear algebra: systems of linear equations, linear least squares problems, eigenvalue problems, and singular value problems.
Also "man -k lapack" which presents a list of the primary routines, with brief descriptions; each of these routines has its own man page describing its use in further detail.
LAPACK is from the NetLib Repository where a copy of the LAPACK Users' Guide is available online.
www.ats.ucla.edu /rct/software/libraries/lapack.htm   (182 words)

  
 LAPACK build and test guide - GNU Project - Free Software Foundation (FSF)
This page is a guide to building the LAPACK linear algebra package and running its testing and timing programs as part of GCC integration testing.
The LAPACK distribution, available from the netlib repository at lapack.tgz, is a 5 MB file.
LAPACK can be used to test interoperability of two compilers by first editing the
www.gnu.org /software/gcc/testing/testing-lapack.html   (516 words)

  
 Ch LAPACK Documentation
Ch LAPACK is Ch binding to C LAPACK libraries.
C LAPACK is C code translated from Fortran 77 LAPACK using Fortran to C conversion utility called f2c.
LAPACK can be used to solve systems of simultaneous linear equations, least-squares solutions of linear systems of equations, eigenvalue problems, and singular value problems.
www.softintegration.com /docs/toolkit/clapack   (139 words)

  
 LAPACK - Linear Algebra Library
LAPACK is a library of FORTRAN90 routines, using double precision arithmetic, for solving linear systems and performing eigenvalue analysis.
When a user calls a single LAPACK routine, that routine may, in turn, potentially call 30 or more subroutines; trying to understand the logic of the algorithm, or even simply collecting all the routines involved in a single call, can be a painful task.
Similarly, it is much easier to convert the LINPACK source code to the C language, rather than the LAPACK source code, simply because the coding is simpler, more straightforward, and does not involve such an elaborate nesting of subroutines.
www.csit.fsu.edu /~burkardt/f_src/lapack/lapack.html   (543 words)

  
 LAPACK & BLAS
LAPACK and BLAS routines were ftped from http://www.netlib.org, or http://www.att.com.
If the documentation says that the LAPACK version has been verified on the platform, you may want to comment out the testing lines in the Makefile.
For Digital UNIX, a machine optimized blas and lapack libraries are made avialable as Digital Extended Math Library and we have a license for this through the CSLG program.
www.phys.ufl.edu /docs/system/public_domain/lapack-blas.html   (280 words)

  
 ScaLAPACK
ScaLapack includes a subset of the LAPACK routines redesigned for distributed memory parallel computers.
Lapack, in turn, uses the BLAS routines in order to do matrix-matrix operations.
LAPACK uses the Basic Linear Algebra (BLAS) functions for matrix-matrix operations.
www.ats.ucla.edu /rct/clustering/software/ScaLAPACK.htm   (449 words)

  
 LAPACK -- Linear Algebra PACKage
LAPACK is written in Fortran77 and provides routines for solving systems of simultaneous linear equations, least-squares solutions of linear systems of equations, eigenvalue problems, and singular value problems.
file lapack-3.1.0.changes for Text file explaining the changes that were made to the, LAPACK software in version 3.1.
file lapack-3.0.changes for Text file explaining the changes that were made to the, LAPACK software in version 3.0.
www.netlib.org /lapack   (881 words)

  
 LAPACK
NAG is proud to have provided two of the contributors to the LAPACK project.
Under Sven's guidance, NAG has completed the task of putting the whole of LAPACK 3 into their library software.
Because Sven is still actively involved in the project, NAG is able to ensure that the latest code is included, complete with error corrections, and has provided LAPACK example programs for the benefit of LAPACK users.
www.nag.com /lapack   (285 words)

  
 3.2.3 LAPACK Package   (Site not responding. Last check: 2007-11-07)
LAPACK (Linear Algebra Package) provides routines for solving systems of simultaneous linear equations, least-squares solutions of linear systems of equations, eigenvalue problems, and singular value problems.
LAPACK was developed by Jack Dongarra's LAPACK Project group at the University of Tennessee.
Highly efficient machine-specific implementations of LAPACK and the BLAS are available for many modern high-performance computers.
www.lanl.gov /Caesar/node12.html   (168 words)

  
 SAL- Numerical Analysis - Misc - LAPACK
The original goal of the LAPACK project was to make the widely used EISPACK and LINPACK libraries (in Netlib) run efficiently on shared-memory vector and parallel processors.
Though Linux binary is not there, you could look at LAPACK and BLAS Libraries for Linux (LAPACK version 2.0 though) and Dynamically Loadable LAPACK items in SAL.
BLAS (The Fortran 77 reference implementation of the BLAS is provided with the LAPACK distribution in case an optimized version of the BLAS is not available.)
www.sai.msu.su /sal/B/0/LAPACK.html   (447 words)

  
 The LAPACK Linear Algebra Package   (Site not responding. Last check: 2007-11-07)
LAPACK is a set of linear algebra subroutines intended to eventually supersede LINPACK, EISPACK etc. It is specifically intended to perform well on supercomputers.
LAPACK contains more routines than LINPACK, so you may find something that is tailored to the type of matrix you have.
You may be able to find the name of a routine you want this way, and then check the source code for any changes.
orion.math.iastate.edu /docs/lapack/lapack.html   (377 words)

  
 LAPACK++: Linear Algebra Package in C++   (Site not responding. Last check: 2007-11-07)
LAPACK++ (Linear Algebra PACKage in C++) is a software library for numerical linear algebra that solves systems of linear equations and eigenvalue problems on high performance computer architectures.
Computational support is provided for supports various matrix classes for vectors, non-symmetric matrices, SPD matrices, symmetric matrices, banded, triangular, and tridiagonal matrices; however, it does not include all of the capabilities of original f77 LAPACK.
LAPACK++ was originally designed and developed in 1992 by Roldan Pozo, while a postdoc with Jack Dongarra at the University of Tennessee and Oak Ridge National Lab.
math.nist.gov /lapack++   (209 words)

  
 SAL- Numerical Analysis - Misc - LAPACK and BLAS libraries for Linux   (Site not responding. Last check: 2007-11-07)
LAPACK version 2.0 is a comprehensive FORTRAN library that does linear algebra operations including matrix inversions, least squared solutions to linear sets of equations, eigen analysis, SVD etc. It is a very comprehensive and reputable package that has found extensive use in the scientific community.
Both LAPACK and BLAS are available in source code from Netlib.
This binary ELF distribution of the libraries for Linux can be used with g77 or with f2c+gcc.
ceu.fi.udc.es /SAL/B/0/LAPACKBLAS.html   (143 words)

  
 LAPACK
Almost all LAPACK routines call BLAS routines, which are not part of the LAPACK library.
Many third-party sources contain needed LAPACK and BLAS sources to be independent of what is available on a particular machine.
Linking with the LAPACK library is necessary, even when the test matrix is generated in another way.
www.hlrn.de /doc/lapack/index.html   (834 words)

  
 LAPACK Command Help   (Site not responding. Last check: 2007-11-07)
(Simple driver.) #CGEESX LAPACK FORTRAN D4a4 Computes the eigenvalues and Schur factorization of a general matrix, orders the factorization so that selected eigenvalues are at the top left of the Schur for m, and computes reciprocal condition numbers for the average of the selected eig envalues, and for the associated right invariant subspace.
(Simple driver.) #CHPRFS LAPACK FORTRAN D2d1a Improves the computed solution to a real symmetric/complex symmetric/complex Her mitian indefinite system of linear equations AX=B, where A is held in packed sto rage, and provides forward and backward error bounds for the solution.
(Simple driver.) #SGEESX LAPACK FORTRAN D4a2 Computes the eigenvalues and Schur factorization of a general matrix, orders the factorization so that selected eigenvalues are at the top left of the Schur for m, and computes reciprocal condition numbers for the average of the selected eig envalues, and for the associated right invariant subspace.
www.ccpo.odu.edu /ug/sw/lapack_sw.html   (6734 words)

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