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The change of similarity invariants under row perturbations: Generic cases

✍ Scribed by M. Asunción Beitia; Inmaculada de Hoyos; Ion Zaballa

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 176 KB
Volume: 429
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2008.03.006

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The problem of the possible similarity classes of all the matrices obtained by small perturbations on some rows of a given complex square matrix is under consideration. Some necessary conditions on these similarity classes are provided. The near converse problem is also studied: under what condition

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We study the variation of the Jordan structure of a complex square matrix when we make small perturbations on the elements of one row.