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EXTREMAL RANKS OF SOME SYMMETRIC MATRIX EXPRESSIONS WITH APPLICATIONS.
- Source :
-
SIAM Journal on Matrix Analysis & Applications . 2006, Vol. 28 Issue 3, p890-905. 16p. - Publication Year :
- 2006
-
Abstract
- Suppose A-BXB*, A-BX -X*B*, and A-BX +X*B* are three linear matrix expressions over the field of complex numbers, where A is an Hermitian or skew-Hermitian matrix. In this paper, we consider how to choose an Hermitian or skew-Hermitian matrix X such that A-BXB* have the maximal and minimal possible ranks, and how to choose X such that A - BX ± X*B* attain the minimal possible ranks. Some applications to Hermitian or skew-Hermitian solutions of matrix equations with symmetric patterns are also given. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08954798
- Volume :
- 28
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Matrix Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 25060100
- Full Text :
- https://doi.org/10.1137/S0895479802415545