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Adaptive parameter alternating direction algorithm for reflexive solutions of a class of matrix equations. (Chinese. English summary) Zbl 1474.65116

Summary: An adaptive parameter alternating direction iterative algorithm is proposed to solve the reflexive solutions of a class of generalized coupled Sylvester matrix equations. It is proved that the algorithm is convergent under appropriate conditions. The numerical experiments are presented.

MSC:

65F45 Numerical methods for matrix equations
15A24 Matrix equations and identities
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