The c-numerical range of a rank one matrix
โ Scribed by Mao-Ting Chien
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 169 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
โฆ Synopsis
The e-numericM range of a rank one matrix is explicitly described. Its proof ~s approached in two different ways.
๐ SIMILAR VOLUMES
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
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.