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Generic rank-k perturbations of structured matrices

Please always quote using this URN:urn:nbn:de:0296-matheon-13385
  • This paper deals with the effect of generic but structured low rank perturbations on the Jordan structure and sign characteristic of matrices that have structure in an indefinite inner product space. The paper is a follow-up of earlier papers in which the effect of rank one perturbations was considered. Several results that are in contrast to the case of unstructured low rank perturbations of general matrices are presented here.

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Metadaten
Author:Leonhard Batzke, Christian Mehl, André C.M. Ran, Leiba Rodman
URN:urn:nbn:de:0296-matheon-13385
Referee:Benjamin Kunz
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2015/02/27
Release Date:2015/02/27
Tag:H-selfadjoint matrices; H-symmetric matrices; indefinite inner product; perturbation analysis; sign characteristic
Institute:Technische Universität Berlin
Project:C Energy and Materials (Production) / C-SE3 Stability analysis of power networks and power network models
MSC-Classification:15-XX LINEAR AND MULTILINEAR ALGEBRA; MATRIX THEORY / 15Axx Basic linear algebra / 15A63 Quadratic and bilinear forms, inner products [See mainly 11Exx]
Preprint Number:1078
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