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Geometrical properties of numerical range of matrix polynomials

โœ Scribed by J. Maroulas; P. Psarrakos


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
275 KB
Volume
31
Category
Article
ISSN
0898-1221

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๐Ÿ“œ SIMILAR VOLUMES


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.

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 range of a continuant matrix
โœ Mao-Ting Chien; Jun-Ming Huang ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 163 KB
On the numerical ranges of matrix produc
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 .

The upper numerical range of a quaternio
โœ Robert C. Thompson ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 653 KB

A recent result is that the quatemionic numerical range of a matrix with quatemion entries has a convex intersection with the upper half complex plane. This intersection is now shown to be generally not achievable as the upper half plane part of the complex numerical range of any complex matrix. A k