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Selected Works of Fuzhen Zhang
Article
Some Inequalities of Majorization Type
Linear Algebra and its Applications
  • Ramazan Turkman, Selcuk University
  • Vehbi Emrah Paksoy, Nova Southeastern University
  • Fuzhen Zhang, Nova Southeastern University
Link
Document Type
Article
Publication Date
9-15-2012
Keywords
  • Eigenvalue,
  • Hermitian matrix,
  • Majorization,
  • Matrix inequality,
  • Matrix norm,
  • Positive semidefinite matrix,
  • Singular value,
  • Unitarily invariant norm
Disciplines
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

Comments

Under an Elsevier user license

DOI
10.1016/j.laa.2012.04.021
Citation Information
Ramazan Turkman, Vehbi Emrah Paksoy and Fuzhen Zhang. "Some Inequalities of Majorization Type" Linear Algebra and its Applications Vol. 437 Iss. 6 (2012) p. 1305 - 1316 ISSN: 0024-3795
Available at: http://works.bepress.com/fuzhen-zhang/137/