Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-6546
 Main Title: Structured pseudospectra for small perturbations Author(s): Karow, Michael Type: Article Language Code: en Abstract: In this paper we study the shape and growth of structured pseudospectra for small matrix perturbations of the form $A \leadsto A_\Delta=A+B\Delta C$, $\Delta \in \boldsymbol{\Delta}$, $\|\Delta\|\leq \delta$. It is shown that the properly scaled pseudospectra components converge to nontrivial limit sets as $\delta$ tends to 0. We discuss the relationship of these limit sets with $\mu$-values and structured eigenvalue condition numbers for multiple eigenvalues. URI: https://depositonce.tu-berlin.de//handle/11303/7273http://dx.doi.org/10.14279/depositonce-6546 Issue Date: 8-Dec-2011 Date Available: 14-Dec-2017 DDC Class: 518 Numerische Analysis512 Algebra Subject(s): eigenvaluesperturbationsspectral value sets$\mu$-valuescondition numbers License: http://rightsstatements.org/vocab/InC/1.0/ Journal Title: SIAM Journal on Matrix Analysis and Applications Publisher: Society for Industrial and Applied Mathematics Publisher Place: Philadelphia, Pa. Volume: 32 Issue: 4 Publisher DOI: 10.1137/090774744 Page Start: 1398 Page End: 1383 EISSN: 1095-7162 ISSN: 0895-4798 Appears in Collections: FG Numerische Lineare Algebra » Publications

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