APPROXIMABILITY BY WEIGHTED NORMS OF THE STRUCTURED AND VOLUMETRIC SINGULAR-VALUES OF A CLASS OF NONNEGATIVE MATRICES

Authors
HERSHKOWITZ D HUANG WC SCHNEIDER H WEINBERGER H
Citation
D. Hershkowitz et al., APPROXIMABILITY BY WEIGHTED NORMS OF THE STRUCTURED AND VOLUMETRIC SINGULAR-VALUES OF A CLASS OF NONNEGATIVE MATRICES, SIAM journal on matrix analysis and applications, 18(1), 1997, pp. 249-257
Citations number
12
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on matrix analysis and applications → ACNP
ISSN journal
08954798
Volume
18
Issue
1
Year of publication
1997
Pages
249 - 257
Database
ISI
SICI code
0895-4798(1997)18:1<249:ABWNOT>2.0.ZU;2-M
Abstract
A known result about the spectral radius of an irreducible nonnegative matrix is extended to all nonnegative matrices. By means of this resu lt, it is shown that the structured singular value and the Volumetric singular Value of a class of nonnegative matrices can be approximated with arbitrary accuracy by the matrix norm induced by a weighted l(2) vector norm and in the simplest case by a weighted l(p) vector norm fo r any p.