Citation
R. Bhatia et P. Semrl, Orthogonality of matrices and some distance problems, LIN ALG APP, 287(1-3), 1999, pp. 77-85
Citations number
10
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795
→ ACNP
Volume
287
Issue
1-3
Year of publication
1999
Pages
77 - 85
Database
ISI
SICI code
0024-3795(19990115)287:1-3<77:OOMASD>2.0.ZU;2-Y
Abstract
If A and B are matrices such that parallel to A +zB parallel to greater tha
n or equal to parallel to A parallel to for all complex numbers z, then A i
s said to be orthogonal to B. We find necessary and sufficient conditions f
or this to be the case. Some applications and generalisations are also disc
ussed. (C) 1999 Elsevier Science Inc. All rights reserved.