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conference on high performance computing (supercomputing) | 1990

LAPACK: a portable linear algebra library for high-performance computers

E. Anderson; Z. Bai; Jack J. Dongarra; A. Greenbaum; A. McKenney; J. Du Croz; S. Hammarling; James Demmel; Christian H. Bischof; Danny C. Sorensen

The goal of the LAPACK project is to design and implement a portable linear algebra library for efficient use on a variety of high-performance computers. The library is based on the widely used LINPACK and EISPACK packages for solving linear equations, eigenvalue problems, and linear least-squares problems, but extends their functionality in a number of ways. The major methodology for making the algorithms run faster is to restructure them to perform block matrix operations (e.g., matrix-matrix multiplication) in their inner loops. These block operations may be optimized to exploit the memory hierarchy of a specific architecture. The LAPACK project is also working on new algorithms that yield higher relative accuracy for a variety of linear algebra problems. >


Archive | 1992

LAPACK users' guide: Release 1. 0

E. Anderson; Zhaojun Bai; Christian H. Bischof; James Demmel; Jack J. Dongarra; J. Du Croz; A. Greenbaum; S. Hammarling; A. McKenney; Susan Ostrouchov; Danny C. Sorensen

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 is designed to supersede LINPACK and EISPACK, principally by restructuring the software to achieve much greater efficiency on vector processors, high-performance ``superscalar`` workstations, and shared-memory multi-processors. LAPACK also adds extra functionality, uses some new or improved algorithms, and integrates the two sets of algorithms into a unified package. The LAPACK Users` Guide gives an informal introduction to the design of the algorithms and software, summarizes the contents of the package, describes conventions used in the software and documentation, and includes complete specifications for calling the routines. This edition of the Users` guide describes Release 1.0 of LAPACK.


Philadelphia: Society for Industrial and Applied Mathematics | 1999

LAPACK Users' Guide, 3rd ed.

E. Anderson; Zhaojun Bai; Christian H. Bischof; Susan Blackford; James Demmel; Jack J. Dongarra; Jeremy Du Croz; A. Greenbaum; Sven Hammarling; A. McKenney; Danny C. Sorensen


Archive | 1999

LAPACK Users' guide (third ed.)

E. Anderson; Z. Bai; Christian H. Bischof; L. S. Blackford; James Demmel; Jack J. Dongarra; J. Du Croz; Sven Hammarling; A. Greenbaum; A. McKenney; Danny C. Sorensen


siam conference on parallel processing for scientific computing | 1991

LAPACK for Distributed Memory Architectures: Progress Report

E. Anderson; Annamaria Benzoni; Jack J. Dongarra; Steve Moulton; Susan Ostrouchov; Bernard Tourancheau; Robert A. van de Geijn


distributed memory computing conference | 1991

Basic Linear Algebra Comrnunication Subprograms

E. Anderson; Annamaria Benzoni; Jack Dongarra; Steve Moulton; Susan Ostrouchov; Bernard Tourancheau; R.A. van de Geijn


Archive | 1999

LAPACK User's Guide / E. Anderson ...

E. Anderson; Zhaojun Bai; Christian H. Bischof; Susan Blackford; James Demmel; Jack J. Dongarra; J. Du Croz; A. Greenbaum; S. Hammarling; A. McKenney


Archive | 1999

2. Contents of LAPACK95

E. Anderson; Zhaojun Bai; Christian H. Bischof; L. S. Blackford; James Demmel; Jack J. Dongarra; J. Du Croz; A. Greenbaum; S. Hammarling; A. McKenney; Danny C. Sorensen


Archive | 1999

3. Performance of LAPACK

E. Anderson; Zhaojun Bai; Christian H. Bischof; L. S. Blackford; James Demmel; Jack J. Dongarra; J. Du Croz; A. Greenbaum; S. Hammarling; A. McKenney; Danny C. Sorensen


Archive | 1999

6. Installing LAPACK Routines

E. Anderson; Zhaojun Bai; Christian H. Bischof; L. S. Blackford; James Demmel; Jack J. Dongarra; J. Du Croz; A. Greenbaum; S. Hammarling; A. McKenney; Danny C. Sorensen

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James Demmel

University of California

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Christian H. Bischof

Technische Universität Darmstadt

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Zhaojun Bai

University of California

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J. Du Croz

Numerical Algorithms Group

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