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- Title
The common ( P, Q) generalized reflexive and anti-reflexive solutions to $$AX=B$$ and $$XC=D$$.
- Authors
Liu, Xifu
- 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.
- Subjects
FROBENIUS algebras; MATRICES (Mathematics); NUMERICAL analysis; NUMERICAL solutions to differential equations; MATHEMATICAL notation
- Publication
Calcolo, 2016, Vol 53, Issue 2, p227
- ISSN
0008-0624
- Publication type
Article
- DOI
10.1007/s10092-015-0146-z