2006•College MathematicsRequires access

The Centroskew Symmetric Solution of a Matrix Equation and Its Optimal Approximation

Liang Jun-ping

Abstract

Using the general singular value decomposition of matrices,the necessary and sufficient conditions for the expressions for the centroskew 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.

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: Mathematics, Matrix (chemical analysis), Singular value decomposition, Symmetric matrix, Matrix difference equation, Mathematical analysis, Matrix differential equation, Solution set