2002•Unpublished venueRequires access

The Centro-symmetric Solutions of Matrix Equation A~TXA=B and its Optimal Approximation

Zhenming Peng

Abstract

Using the general singular value decomposition of matrices,the necessary and sufficient conditions for the existence and the expressions for the centro symmetric solutions of the linear matrix equation A TXA=B are established. In addition, in the solution set of corresponding equation, the expression of the optimal approximation solution to given matrix is derived.

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Key concepts: Mathematics, Singular value decomposition, Symmetric matrix, Matrix (chemical analysis), Applied mathematics, Solution set, Expression (computer science), Mathematical analysis