On the ranks of principal submatrices of diagonalizable matrices
โ Scribed by Kh. D. Ikramov
- Publisher
- Springer US
- Year
- 2009
- Tongue
- English
- Weight
- 88 KB
- Volume
- 157
- Category
- Article
- ISSN
- 1573-8795
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๐ SIMILAR VOLUMES
Let A be an n ร n nonnegative matrix with the spectrum (ฮป 1 , ฮป 2 , . . . , ฮป n ) and let A 1 be an m ร m principal submatrix of A with the spectrum (ฮผ 1 , ฮผ 2 , . . . , ฮผ m ). In this paper we present some cases where the realizability of (ฮผ 1 , ฮผ 2 , . . . , ฮผ m , ฮฝ 1 , ฮฝ 2 , . . . , ฮฝ s ) implies
We provide a set of maximal rank-deficient submatrices of a Kronecker product of two matrices A โ B, and in particular the Kronecker product of Fourier matrices We show how in the latter case, maximal rank-deficient submatrices can be constructed as tilings of rank-one blocks. Several such tilings