Title of article
Some remarks on normal maps with applications to eigenvalues and singular values of matrices Original Research Article
Author/Authors
Marek Niezgoda، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
14
From page
2116
To page
2129
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.
Keywords
Hermitian matrix , Normal map , Singular value , Eaton system , Normal decomposition system , G-majorization , majorization , Weak majorization , eigenvalue
Journal title
Linear Algebra and its Applications
Serial Year
2008
Journal title
Linear Algebra and its Applications
Record number
825912
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