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

Lei Zhu & Weiwei Xu

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

Published online: 2018-02

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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.

  • Keywords

Backward error symmetric generalised centrosymmetric matrix skew-symmetric generalised skew-centrosymmetric matrix

  • AMS Subject Headings

65F10 65F15

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COPYRIGHT: © Global Science Press

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@Article{EAJAM-4-329, author = {Lei Zhu and Weiwei Xu}, title = {Backward Error Analysis for an Eigenproblem Involving Two Classes of Matrices}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {4}, number = {4}, pages = {329--344}, 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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.090614.031014a}, url = {http://global-sci.org/intro/article_detail/eajam/10841.html} }
TY - JOUR T1 - Backward Error Analysis for an Eigenproblem Involving Two Classes of Matrices AU - Lei Zhu & Weiwei Xu JO - East Asian Journal on Applied Mathematics VL - 4 SP - 329 EP - 344 PY - 2018 DA - 2018/02 SN - 4 DO - http://dor.org/10.4208/eajam.090614.031014a UR - https://global-sci.org/intro/eajam/10841.html KW - Backward error KW - symmetric generalised centrosymmetric matrix KW - skew-symmetric generalised skew-centrosymmetric matrix AB -

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.

Lei Zhu & Weiwei Xu. (1970). Backward Error Analysis for an Eigenproblem Involving Two Classes of Matrices. East Asian Journal on Applied Mathematics. 4 (4). 329-344. doi:10.4208/eajam.090614.031014a
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