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Cyclic dimensions, kernel multiplicities, and Gohberg-Kaashoek numbers

✍ Scribed by Vladimir Matsaev; Vadim Olshevsky


Book ID
104156064
Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
719 KB
Volume
239
Category
Article
ISSN
0024-3795

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✦ Synopsis


Two geometric characteristics, namely cyclic dimensions and kernel multiplicities, are introduced for a square matrix. The connection between these characteristics and Gohberg-Kaashoek numbers is studied. On this basis two simple geometric proofs are given for the theorem about the change of the Jordan structure of a given matrix under small perturbation.


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