EIGENVALUE INEQUALITIES AND EQUALITIES

Authors
HORN RA RHEE NH SO WS
Citation
Ra. Horn et al., EIGENVALUE INEQUALITIES AND EQUALITIES, Linear algebra and its applications, 270, 1998, pp. 29-44
Citations number
24
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
270
Year of publication
1998
Pages
29 - 44
Database
ISI
SICI code
0024-3795(1998)270:<29:EIAE>2.0.ZU;2-O
Abstract
We consider cases of equality in three basic inequalities for eigenval ues of Hermitian matrices: Cauchy's interlacing inequalities for princ ipal submatrices, Weyl's inequalities for sums, and the residual theor em. Several applications generalize and sharpen known results for eige nvalues of irreducible tridiagonal Hermitian matrices. (C) 1998 Elsevi er Science Inc.