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Backward Error Analysis for an Eigenproblem Involving Two Classes of Matrices

Backward Error Analysis for an Eigenproblem Involving Two Classes of Matrices

Year:    2014

East Asian Journal on Applied Mathematics, Vol. 4 (2014), Iss. 4 : pp. 329–344

Abstract

We consider backward errors for an eigenproblem of a class of symmetric generalised centrosymmetric matrices and skew-symmetric generalised skew-centrosymmetric matrices, which are extensions of symmetric centrosymmetric and skew-symmetric skew-centrosymmetric matrices. Explicit formulae are presented for the computable backward errors for approximate eigenpairs of these two kinds of structured matrices. Numerical examples illustrate our results.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.090614.031014a

East Asian Journal on Applied Mathematics, Vol. 4 (2014), Iss. 4 : pp. 329–344

Published online:    2014-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Backward error symmetric generalised centrosymmetric matrix skew-symmetric generalised skew-centrosymmetric matrix.