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Symmetry of the spatial numerical ranges of algebra polynomials and of matrix polynomials

โœ Scribed by Th. Chryssakis


Publisher
Springer US
Year
1999
Tongue
English
Weight
376 KB
Volume
96
Category
Article
ISSN
1573-8795

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๐Ÿ“œ SIMILAR VOLUMES


The boundary of the numerical range of m
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.

On the connectedness of numerical range
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.

Numerical approximation of the boundary
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.

New Automorphisms of Generic Matrix Alge
โœ Vesselin Drensky; C.K. Gupta ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 148 KB

Let T be the generic trace algebra generated by the algebra R of two generic 2 = 2 matrices and by all traces of the matrices from R over a field K. We construct new automorphisms of T and R. They induce automorphisms of the polynomial algebra in five variables which fix two of the variables. Our au