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The common ( P, Q) generalized reflexive and anti-reflexive solutions to $$AX=B$$ and $$XC=D$$.
- Source :
-
Calcolo . Jun2016, Vol. 53 Issue 2, p227-234. 8p. - Publication Year :
- 2016
-
Abstract
- In this paper, we establish some conditions for the existence and the representations for the common ( P, Q) generalized reflexive and anti-reflexive solutions of matrix equations $$AX=B$$ and $$XC=D$$ , where P and Q are two generalized reflection matrices. Moreover, in corresponding solution set of the equations, the explicit expression of the nearest matrix to a given matrix in the Frobenius norm has been presented. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00080624
- Volume :
- 53
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Calcolo
- Publication Type :
- Academic Journal
- Accession number :
- 115398147
- Full Text :
- https://doi.org/10.1007/s10092-015-0146-z