Estimates of the trace of the inverse of a symmetric matrix using the modified Chebyshev algorithm

In this paper we study how to compute an estimate of the trace of the inverse of a symmetric matrix by using Gauss quadrature and the modified Chebyshev algorithm. As auxiliary polynomials we use the shifted Chebyshev polynomials. Since this can be too costly in computer storage for large matrices w...

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Bibliographic Details
Published in:	Numerical algorithms Vol. 51; no. 3; pp. 309 - 318
Main Author:	Meurant, Gérard
Format:	Journal Article
Language:	English
Published:	Boston Springer US 01.07.2009 Springer Nature B.V
Subjects:	Algebra Algorithms Chebyshev approximation Computer Science Computer simulation Estimates Inverse Mathematical analysis Matrices (mathematics) Numeric Computing Numerical Analysis Original Paper Polynomials Quadratures Symmetry Theory of Computation Trace Inverse Chebyshev algorithm
ISSN:	1017-1398, 1572-9265
Online Access:	Get full text
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