Numerical linear algebra algorithms and software

Jack J. Dongarra, Victor Eijkhout

Research output: Contribution to journalArticlepeer-review

17 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 languageEnglish
Pages (from-to)489-514
Number of pages26
JournalJournal of Computational and Applied Mathematics
Volume123
Issue number1-2
DOIs
StatePublished - Nov 1 2000

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