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The boundary of the numerical range of matrix polynomials

โœ Scribed by J. Maroulas; P. Psarrakos


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
551 KB
Volume
267
Category
Article
ISSN
0024-3795

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โœฆ Synopsis


Some algebraic properties of the sharp points of the numerical range of matrix polynomials are the main subject of this paper. We also consider isolated points of the numerical range and the location of the numerical range in a circular annulus.


๐Ÿ“œ SIMILAR VOLUMES


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The numerical range of an n ร— n matrix polynomial , and plays an important role in the study of matrix polynomials. In this paper, we describe a methodology for the illustration of its boundary, โˆ‚W (P ), using recent theoretical results on numerical ranges and algebraic curves.

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โœ Mao-Ting Chien; Chung-Lien Ko; Hiroshi Nakazato ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 290 KB

Let A and C be n ร— 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 .