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Some remarks on normal maps with applications to eigenvalues and singular values of matrices

Authors :
Niezgoda, Marek
Source :
Linear Algebra & its Applications. Apr2008, Vol. 428 Issue 8/9, p2116-2129. 14p.
Publication Year :
2008

Abstract

Abstract: In this paper, by using normal maps originated by Lewis [A.S. Lewis, Group invariance and convex matrix analysis, SIAM J. Matrix Anal. Appl. 17 (1996) 927–949], we present a method for producing majorization inequalities on eigenvalues and singular values of matrices. Some classical and new inequalities are derived. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
00243795
Volume :
428
Issue :
8/9
Database :
Academic Search Index
Journal :
Linear Algebra & its Applications
Publication Type :
Academic Journal
Accession number :
30903741
Full Text :
https://doi.org/10.1016/j.laa.2007.11.016