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On the connectedness of numerical range of matrix polynomials

โœ Scribed by J. Maroulas; P. Psarrakos

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
624 KB
Volume
280
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

An investigation on nonconnectedness of numerical range for manic matrix polynomials L( ) is undertaking here. The distribution of eigenvalues of L(1) to the components of numerical range and some other algebraic properties are also presented.

๐Ÿ“œ SIMILAR VOLUMES

The boundary of the numerical range of m
The boundary of the numerical range of matrix polynomials
โœ J. Maroulas; P. Psarrakos ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 551 KB

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.

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โœ P. Psarrakos; Ch. Tsitouras ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› John Wiley and Sons โš– 335 KB

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 .