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

Lei Zhu & Weiwei Xu

DOI: 10.4208/eajam.090614.031014a

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-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.

  • Keywords

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

  • AMS Subject Headings

65F10, 65F15

  • Copyright

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-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.

}, 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://doi.org/10.4208/eajam.090614.031014a UR - https://global-sci.org/intro/article_detail/eajam/10841.html KW - Backward error, symmetric generalised centrosymmetric matrix, 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-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.

Lei Zhu and Weiwei Xu. (2018). 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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