Numerical linear algebra algorithms and software

Jack J. Dongarra; Victor Eijkhout

doi:10.1016/S0377-0427(00)00400-3

Numerical linear algebra algorithms and software

Jack J. Dongarra
, Victor Eijkhout

Computer Science and Mathematics Div

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

The increasing availability of advanced-architecture computers has a significant effect on all spheres of scientific computation, including algorithm research and software development in numerical linear algebra. Linear algebra - in particular, the solution of linear systems of equations - lies at the heart of most calculations in scientific computing. This paper discusses some of the recent developments in linear algebra designed to exploit these advanced-architecture computers. We discuss two broad classes of algorithms: those for dense, and those for sparse matrices.

Original language	English
Pages (from-to)	489-514
Number of pages	26
Journal	Journal of Computational and Applied Mathematics
Volume	123
Issue number	1-2
DOIs	https://doi.org/10.1016/S0377-0427(00)00400-3
State	Published - Nov 1 2000

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10.1016/S0377-0427(00)00400-3

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title = "Numerical linear algebra algorithms and software",

abstract = "The increasing availability of advanced-architecture computers has a significant effect on all spheres of scientific computation, including algorithm research and software development in numerical linear algebra. Linear algebra - in particular, the solution of linear systems of equations - lies at the heart of most calculations in scientific computing. This paper discusses some of the recent developments in linear algebra designed to exploit these advanced-architecture computers. We discuss two broad classes of algorithms: those for dense, and those for sparse matrices.",

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AB - The increasing availability of advanced-architecture computers has a significant effect on all spheres of scientific computation, including algorithm research and software development in numerical linear algebra. Linear algebra - in particular, the solution of linear systems of equations - lies at the heart of most calculations in scientific computing. This paper discusses some of the recent developments in linear algebra designed to exploit these advanced-architecture computers. We discuss two broad classes of algorithms: those for dense, and those for sparse matrices.

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Numerical linear algebra algorithms and software

Abstract

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