Study On The Double - Center Least Squares Problem Of Several Matrix Equations

The problems of solving matrix equations have been a hot topic in the field of numerical algebra. The double center matrices and double center matrix equations both play an important role in the field of the electrical network theory, the expansion of the power system, the vibration theory, the analysis of control, the analysis of architectural design and so on. In this paper, we mainly consider the following problems.This paper gets the expressions of the least squares double center solution with the least norm of the matrix equations, respectively, and provides numerical algorithms and numerical examples to show the feasibility of our methods.