Numerical range of a doubly stochastic matrix
β Scribed by Peter Nylen; Tin-Yau Tam
- Book ID
- 107826435
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 715 KB
- Volume
- 153
- Category
- Article
- ISSN
- 0024-3795
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π 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 T be an arbitrary n Γ n matrix with real entries. We consider the set of all matrices with a given complex number as an eigenvalue, as well as being given the corresponding left and right eigenvectors. We find the closest matrix A, in Frobenius norm, in this set to the matrix T . The normal cone