Backward errors for eigenproblem of two kinds of structured matrices
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摘要
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.
论文关键词：65F10,65F15,Backward error,Centrosymmetric matrix,Skew-centrosymmetric matrix,Symmetric centrosymmetric matrix,Symmetric skew-centrosymmetric matrix
论文评审过程：Received 25 February 2009, Revised 21 April 2010, Available online 12 June 2010.
论文官网地址：https://doi.org/10.1016/j.cam.2010.05.011
