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
• DOI: 10.1016/s0024-3795(96)90009-9

✦ 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.