Reduction of the c-numerical range to the classical numerical range
โ Scribed by Mao-Ting Chien; Hiroshi Nakazato
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 176 KB
- Volume
- 434
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
Let A be an n ร n matrix and 1 Y 2 Y F F F Y n be a real n-tuple. The c-numerical range of A is the set e f n j1 j x ร j ex j X fx 1 Y x 2 Y F F F Y x n g is an orthonormal basis of C n g. We obtain parametric representations of the boundary generating curve of the cnumerical range of a matrix. Appl