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Uniqueness of solution of a generalized ⋆-Sylvester matrix equation.
- Source :
-
Linear Algebra & its Applications . Mar2016, Vol. 493, p323-335. 13p. - Publication Year :
- 2016
-
Abstract
- We present necessary and sufficient conditions for the existence of a unique solution of the generalized ⋆-Sylvester matrix equation A X B + C X ⋆ D = E , where A , B , C , D , E are square matrices of the same size with real or complex entries, and where ⋆ stands for either the transpose or the conjugate transpose. This generalizes several previous uniqueness results for specific equations like the ⋆-Sylvester or the ⋆-Stein equations. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 493
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 112552128
- Full Text :
- https://doi.org/10.1016/j.laa.2015.11.037