A class of alternating direction iterative method for M-matrix Sylvester equations
Sylvester equation is widely used in many fields of scientific computing and engineering applications.In this paper,numerical methods for solving M-matrix Sylvester equation are discussed.Based on the properties of M-matrix and the idea of alternating direction iteration,a class of alternating direction iterative method is proposed to solve the M-matrix Sylvester equation,and the convergence analysis of the new method is given.Numerical experiments show that the new method is feasible and is effective under certain conditions.
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