2007•Basic Sciences Journal of Textile UniversitiesRequires access

An iterative method for the least squares solutions of a pair of matrix equations and its optimal approximation

Shang Li-na

Abstract

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

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Available abstract

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