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
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
Journal title :
Linear Algebra and its Applications