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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Vydané v:	Numerical algorithms Ročník 51; číslo 3; s. 309 - 318
Hlavný autor:	Meurant, Gérard
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Boston Springer US 01.07.2009 Springer Nature B.V
Predmet:	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
On-line prístup:	Získať plný text
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