Citation
Tz. Huang et al., Estimates for bounds of some numerical characters of matrices, LIN ALG APP, 319(1-3), 2000, pp. 137-145
Citations number
7
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795
→ ACNP
Volume
319
Issue
1-3
Year of publication
2000
Pages
137 - 145
Database
ISI
SICI code
0024-3795(20001101)319:1-3<137:EFBOSN>2.0.ZU;2-M
Abstract
In this paper, we present some new estimates on Sigma (i)/lambda (i)/(2), w
here lambda (i) is an eigenvalue of a matrix, which improve Schur's inequal
ity. By using these estimates, we provide a new criterion for nonsingularit
y of matrices and a monotonic iterative method for matrix 1-balancing probl
ems. (C) 2000 Elsevier Science inc, All rights reserved.