2005•Journal of Lanzhou UniversityRequires access

The symmetric orthogonal anti-symmetric solution of linear matrix Equation A~TXA = B and its optimal approximation

Yousheng Wu

Abstract

By applying the generalized singular value decomposition of matrices, this paper provides the necessary and sufficient conditions for the existence and the expression of the symmetric orthogonal antisymmetric solutions of the linear matrix equation ATXA = B. In addition, the expression of the optimal approximation solution to the given matrix is derived.

About this research paper

What this paper is about

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Antisymmetric relation, Mathematics, Symmetric matrix, Orthogonal matrix, Singular value decomposition, Matrix (chemical analysis), Expression (computer science), Applied mathematics