2009•Journal of Shanxi UniversityRequires access

Symmetric Ortho-symmetric Least Square Solutions of One Kind of Matrix Equation

Liao An-ping

Abstract

This paper discusses the symmetric ortho-symmetric least square solutions of the matrix equation ATXA=B.The general expressions of the solution with a given symmetric orthogonal matrix P was obtained.In addition,in solution set of the equation,the expressions of the optimal approximation to the given matrix X* were derived.

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Key concepts: Mathematics, Square matrix, Symmetric matrix, Matrix (chemical analysis), Square (algebra), Square root of a 2 by 2 matrix, Centrosymmetric matrix, Elementary symmetric polynomial