A finite iterative method for solving a pair of linear matrix equations \((AXB,CXD)=(E,F)\). (English) Zbl 1133.65026

Sheng, Xingping; Chen, Guoliang

Appl. Math. Comput. 189, No. 2, 1350-1358 (2007).

This paper deals with the system consisting of a pair of linear matrix equations. An iterative method is proposed. The iterative method automatically determines the solvability of the system. When the system is consistent, then, for any starting, a solution can be obtained within finite steps, and the least norm solution can be computed by specifically choosing the starting matrix. Theoretical analysis and numerical tests demonstrate that the iterative method is quite efficient.

Reviewer: Liu Xinguo (Qingdao)

MSC:

65F30	Other matrix algorithms (MSC2010)
15A24	Matrix equations and identities

Keywords:

iterative method; numerical examples; least norm solution; optimal approximation solution; pair of linear matrix equations

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