Abstract
In this paper the generalized anti-reflexive solutions for the matrix equation $$ AV + BW = EVF + C $$ are presented. A new finite iterative algorithm is proposed for obtaining anti-reflexive solutions of this matrix equation. By this iterative method, the solvability of the anti-reflexive solutions for the matrix equation can be determined automatically. Additionally, the nearest solution to a given matrix in Frobenius norm is considered. Furthermore, the related optimal approximation problem to a given generalized Sylvester matrix equation can be derived. Finally, numerical examples are given to illustrate the effectiveness of the proposed algorithm.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
