Volume 4, Issue 4
Backward Error Analysis for an Eigenproblem Involving Two Classes of Matrices

Lei Zhu and Weiwei Xu

10.4208/eajam.090614.031014a

East Asian J. Appl. Math., 4 (2014), pp. 329-344.

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  • Abstract

We consider backward errors for an eigenproblem of a class of symmetric generalised centrosymmetric matrices and skew-symmetric generalised skew-centrosymmetricmatrices, 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.

  • History

Published online: 2018-02

  • AMS Subject Headings

65F10, 65F15

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