Least-square Solutions of Inverse Problems for Symmetric and Generalized Centro-symmetric Matrices
Abstract：The least-square solutions of inverse problems for symmetric and generalized centro-symmetric matrices are discussed,and the general expressions are given.For the special case of the least-square problem the inverse problem of the matrices,the necessary and sufficient conditions for the solvability and the general solutions of the problem are obtained.Moreover,the uniqueness of optimal approximation solution is proved,and its concrete expression is given.
Keywords：symmetric and generalized centro-symmetric matricesleast-square solutionoptimal approximation
Publication Date：2011-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：4( 241-244 )