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On the numerical ranges of matrix products

✍ Scribed by Mao-Ting Chien; Chung-Lien Ko; Hiroshi Nakazato

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 290 KB
Volume: 23
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2010.02.019

No coin nor oath required. For personal study only.

✦ Synopsis

Let A and C be n × n complex matrices. The C -numerical range of A is defined as the set

We study classes of matrices that two matrices A, B in the respective class satisfy W C (AB) = W C (BA) for a certain complex matrix C .

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