etters from SCIRP.
Xie, D.X., Zhang, L. and Hu, X.Y. (2000) The Solvability Conditions for the Inverse Problem of Bisymmetric Nonnegative Definite Matrices. Journal of Computational Mathematics, 6, 597-608.
ABSTRACT: In this paper, an iterative method is constructed to find the least-squares solutions of generalized Sylvester equation , where is real matrices group, and satisfies different linear constraint. By this iterative method, for any initial matrix group within a special constrained matrix set, a least squares solution group with satisfying different linear constraint can be obtained within finite iteration steps in the absence of round off errors, and the unique least norm least-squares solution can be obtained by choosing a special kind of initial matrix group. In addition, a minimization property of this iterative method is characterized. Finally, numerical experiments are reported to show the efficiency of the proposed method.