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 - <p style="text-align: justify;">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.</p>