SINGULAR-VALUES, DOUBLY STOCHASTIC MATRICES, AND APPLICATIONS

Authors
ELSNER L FRIEDLAND S
Citation
L. Elsner et S. Friedland, SINGULAR-VALUES, DOUBLY STOCHASTIC MATRICES, AND APPLICATIONS, Linear algebra and its applications, 220, 1995, pp. 161-169
Citations number
13
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
220
Year of publication
1995
Pages
161 - 169
Database
ISI
SICI code
0024-3795(1995)220:<161:SDSMAA>2.0.ZU;2-G
Abstract
The Hadamard square of any square matrix A is bounded above and below by some doubly stochastic matrices times the square of the largest and the smallest singular values of A. Applications to graphs, permanents , and eigenvalue perturbations are discussed.