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Iterative methods for solving linear matrix equation and linear matrix system. (English) Zbl 1195.65059
An efficient iterative method is presented to solve linear matrix equation with real matrix. When the matrix equation is consistent, then for any initial matrix, a solution can be obtained within finite iteration steps in the absence of round off errors and the least norm solution can be obtained by choosing a special kind of initial matrix. Numerical examples are given to demonstrate the efficiency of the algorithm.
MSC:
65F30Other matrix algorithms
15A24Matrix equations and identities