A note on the inverse eigenvalue problem for symmetric doubly stochastic matrices
โ Scribed by Maozhong Fang
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 84 KB
- Volume
- 432
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this work, we improve the lower and upper bounds obtained by Zhang and Luo [X. Zhang, R. Luo, Upper bound for the non-maximal eigenvalues of irreducible nonnegative matrices, Czechoslovak Math. J. 52 (127) (2002) 537-544] for the nonmaximal eigenvalue ฮป n-1 (A) of a symmetric positive matrix.
In this paper, we study the region s n of R n where the decreasingly ordered spectra of all the nรn symmetric doubly stochastic matrices lie with emphasis on the boundary set of s n . As applications, we study the case n = 4 and in particular we solve the inverse eigenvalue problem for 4ร4 symmetric