Remark on upper bounds for the spread of a matrix
β Scribed by Sharma, R.; Kumar, R.
- Book ID
- 123042284
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 236 KB
- Volume
- 438
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let A be a fully indecomposable, nonnegative matrix of order n with row sums rt,..., ~;,, and let s~ equal the smallest positive element in row i of A. We prove the permanental inequality 11 II per(A) ~< 1-I s, + IX('"-s;) i::1 i::1 and characterize the case of equality. In 1984 Donald, Elwin, Hager
Upper bounds for the spectral variation of two regular matrix pairs have been given in [Guoxing Wu, Optimal bounds for the spectral variation of two regular matrix pairs, Linear Algebra Appl. 418 (2006) 891-899; G.W. Stewart, An Elsner-like perturbation theorem for generalized eigenvalues, Linear Al