TY - GEN A1 - Ahmad, Sk. Safique A1 - Mehrmann, Volker T1 - Perturbation analysis for complex symmetric, skew symmetric, even and odd matrix polynomials N2 - In this work we propose a general framework for the structured perturbation analysis of several classes of structured matrix polynomials in homogeneous form, including complex symmetric, skew-symmetric, even and odd matrix polynomials. We introduce structured backward errors for approximate eigenvalues and eigenvectors and we construct minimal structured perturbations such that an approximate eigenpair is an exact eigenpair of an appropriately perturbed matrix polynomial. This work extends previous work for the non-homogeneous case (we include infinite eigenvalues) and we show that the structured backward errors improve the known unstructured backward errors. KW - Polynomial eigenvalue problem KW - even matrix polynomial KW - odd matrix polynomial KW - complex symmetric matrix polynomial KW - complex skew-symmetric matrix polynomial KW - perturbation theory KW - backward error Y1 - 2010 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/683 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-6831 ER -