Recent Developments in Dense Numerical Linear Algebra

Higham, Nicholas J. (1997) Recent Developments in Dense Numerical Linear Algebra. In: The State of the Art in Numerical Analysis. Oxford University Press, Oxford, UK, pp. 1-26. ISBN 0-19-850014-9

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Abstract

We survey recent developments in dense numerical linear algebra, covering linear systems, least squares problems and eigenproblems. Topics considered include the design and analysis of block, partitioned and parallel algorithms, condition number estimation, componentwise error analysis, and the computation of practical error bounds. Frequent reference is made to LAPACK, the state of the art package of Fortran software designed to solve linear algebra problems efficiently and accurately on high-performance computers.

Item Type: Book Section
Uncontrolled Keywords: Numerical linear algebra, linear system, least squares problem, eigenvalue problem, LAPACK
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 15 Linear and multilinear algebra; matrix theory
MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis
Depositing User: Nick Higham
Date Deposited: 16 Apr 2007
Last Modified: 20 Oct 2017 14:12
URI: http://eprints.maths.manchester.ac.uk/id/eprint/784

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