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Equalities and inequalities for inertias of hermitian matrices with applications

  • Published:2010-07 Issue:1 Volume:433 Page:263-296
  • ISSN:0024-3795
  • Container-title:Linear Algebra and its Applications
  • language:en
  • Short-container-title:Linear Algebra and its Applications

Author:

Tian Yongge

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference39 articles.

1. Nonnegative definite and positive definite solutions to the matrix equation AXA∗=B;Baksalary;Linear and Multilinear Algebra,1984

2. The matrix inequality M⩾B∗MB;Baksalary;Linear Algebra Appl.,1983

3. Löwner-ordering antitonicity of generalized inverses of Hermitian matrices;Baksalary;Linear Algebra Appl.,1990

4. Generalized Inverses: Theory and Applications;Ben-Israel,2003

5. Matrix Mathematics: Theory, Facts and Formulas;Bernstein,2009

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