Mathematics Faculty Articles
Some Inequalities of Majorization Type
Document Type
Article
Publication Date
9-15-2012
Publication Title
Linear Algebra and its Applications
Keywords
Eigenvalue, Hermitian matrix, Majorization, Matrix inequality, Matrix norm, Positive semidefinite matrix, Singular value, Unitarily invariant norm
ISSN
0024-3795
Volume
437
Issue/No.
6
First Page
1305
Last Page
1316
Abstract
We show some majorization inequalities and apply them to derive norm, eigenvalue, singular value, and trace inequalities of matrices. We also present a generalization and a different proof of a recent result on majorization concerning partitioned Hermitian positive semidefinite matrices
NSUWorks Citation
Turkman, Ramazan; Paksoy, Vehbi Emrah; and Zhang, Fuzhen, "Some Inequalities of Majorization Type" (2012). Mathematics Faculty Articles. 112.
https://nsuworks.nova.edu/math_facarticles/112
DOI
10.1016/j.laa.2012.04.021
COinS
Comments
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