arrow
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

Export citation
  • 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.

  • AMS Subject Headings

65F10, 65F15

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{EAJAM-4-329, author = {}, 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 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 & 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
Copy to clipboard
The citation has been copied to your clipboard