A finite iterative algorithm for the solution of Sylvester-conjugate matrix equations AV plus BW = E(V)over-barF plus C and AV plus B(W)over-bar = E(V)over-barF plus C
In this paper, we consider two iterative algorithms for the Sylvester- conjugate matrix equation AV + BW = E (V) over barF + C and AV + B (W) over bar = E (V) over barF + C. When these two matrix equations are consistent, for any initial matrices the solutions can be obtained within finite iterative steps in the absence of round off errors. Some lemmas and theorems are stated and proved where the iterative solutions are obtained. Two numerical examples are given to illustrate the effectiveness of the proposed method. (C) 2013 Elsevier Ltd. All rights reserved.
iterative algorithm sylvester-conjugate matrix equations inner product frobenius norm