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Abstract:In this paper, an iterative method is proposed to obtain the mixed-restriction solutions of AXB + CYD = E. By the iterative method, the solvability of the matrix equation can be determined automatically. And if the matrix equation is consistent, then, for any initial value, the sequence {(XkYk)}generated by the iterative method, converges to the true solution within finite iteration steps in the absence of round off errors. Also, for the special initial value, the minimum norm solution can be obtained. Finally, two numerical examples are presented to demonstrate the efficiency of the iterative method. © (2013)Trans Tech Publications,Switzerland.
Volume:380-384
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Translation or Not:no