Backward errors for eigenproblem of two kinds of structured matrices

Authors:
Wei-Wei Xu;Wen Li;Wai-Ki Ching;Yan-Mei Chen
Affiliations:
School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, PR China;School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, PR China;Advanced Modeling and Applied Computing Laboratory, Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong;Department of Computer Science, Guangdong Polytechnic Normal University, Guangzhou 510665, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

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Abstract

In this paper, we consider backward errors in the eigenproblem of symmetric centrosymmetric and symmetric skew-centrosymmetric matrices. By making use of the properties of symmetric centrosymmetric and symmetric skew-centrosymmetric matrices, we derive explicit formulae for the backward errors of approximate eigenpairs.