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On the shape of numerical range of matrix polynomials

โœ Scribed by Hiroshi Nakazato; Panayiotis Psarrakos

Book ID
111714272
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
178 KB
Volume
338
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES

On the connectedness of numerical range
On the connectedness of numerical range of matrix polynomials
โœ J. Maroulas; P. Psarrakos ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 624 KB

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.

The q -numerical range of matrix polynom
The q -numerical range of matrix polynomials
โœ Psarrakos, Panayiotis J.; Vilamos, Panayiotis M. ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Taylor and Francis Group ๐ŸŒ English โš– 246 KB
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.

Numerical approximation of the boundary
Numerical approximation of the boundary of numerical range of matrix polynomials
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.