2011•Journal of Huaiyin Teachers CollegeRequires access

An Iterative Method for the Least Squares Central Symmetric Solutions of a Class Matrix Equations

Shijun Chen

Abstract

An iterative method is presented to solve the least squares central symmetric solutions of matrix equations AiXBi+CiXDi=Fi(i=1,2).By this iterative method,for any initial centralsymmetric matrix,a central symmetric solution can be obtained within finite iterative steps in the absence of round of errors,and the central symmetric solution with least norm can be obtained by choosing a special bisymmetric matrix.In addition,the expression of its optimal approximation solution to a given matrix can be obtained.

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Key concepts: Mathematics, Iterative method, Symmetric matrix, Matrix (chemical analysis), Matrix splitting, Applied mathematics, Least-squares function approximation, Mathematical analysis