2009•Unpublished venueRequires access

The Symmetric and Skew-symmetric Solution of Matrix Equation A~TXA=B on the Linear Manifold

Liu Ding-you

Open publisher page 0 citations

Abstract

By applying the canonical correlation decomposition of matrix pairs,we obtain the Symmetric and Skew-symmetric least-squares solution of the matrix equation on linear manifold.At the same time,the necessary and sufficient conditions for the solvability and the general solutions of the problems are presented.

About this research paper

What this paper is about

By applying the canonical correlation decomposition of matrix pairs,we obtain the Symmetric and Skew-symmetric least-squares solution of the matrix equation on linear manifold.At the same time,the necessary and sufficient conditions for the solvability and the general solutions of the problems are presented.

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

By applying the canonical correlation decomposition of matrix pairs,we obtain the Symmetric and Skew-symmetric least-squares solution of the matrix equation on linear manifold.At the same time,the necessary and sufficient conditions for the solvability and the general solutions of the problems are presented.

Key concepts: Skew-symmetric matrix, Mathematics, Symmetric matrix, Matrix (chemical analysis), Centrosymmetric matrix, Manifold (fluid mechanics), Mathematical analysis, Skew

Related papers

Back to paper searchBrowse research topicsOriginal source
The Symmetric and Skew-symmetric Solution of Matrix Equation A~TXA=B on the Linear Manifold — Research Paper | ScholarLens