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, โW (P ), using recent theoretical results on numerical ranges and algebraic curves.
Geometrical properties of numerical range of matrix polynomials
โ 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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๐ SIMILAR VOLUMES
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.
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.
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 .
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