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The minimal rank of with respect to Hermitian matrix.

Authors :
Wang, Hongxing
Source :
Applied Mathematics & Computation. May2014, Vol. 233, p55-61. 7p.
Publication Year :
2014

Abstract

Abstract: In this paper, we discuss the minimal rank of when X is Hermitian by applying singular value decomposition and some rank equalities of matrices, and obtain a representation of the minimal rank. Based on the representation, we obtain necessary and sufficient conditions for the matrix equation to have Hermitian solutions. [Copyright &y& Elsevier]

Subjects

Subjects :
*HERMITIAN forms
*MATRICES (Mathematics)
*SINGULAR value decomposition
*NUMERICAL solutions to equations
*REPRESENTATIONS of algebras
*MATHEMATICAL analysis

Details

Language :
English
ISSN :
00963003
Volume :
233
Database :
Academic Search Index
Journal :
Applied Mathematics & Computation
Publication Type :
Academic Journal
Accession number :
96345764
Full Text :
https://doi.org/10.1016/j.amc.2014.01.116
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