Wei Liu
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Research Interests
Wei Liu has a total of 2 co-authors. Here are the top co-authors by number of shared publications:
- Anping Liao
Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
1 shared publication - Baiyu Wang
Changsha University
1 shared publication
Latest Publications
- Open Access
- 1 January 2017
- Published by National Library of Serbia in Filomat
- Vol. 31 (13) , 4023-4031
The generalized orthogonal solutions of the matrix inverse problem AX = B and optimal approximation
In this paper, the generalized orthogonal solutions of the matrix inverse problem AX = B and associated optimal approximation problem are considered. The properties and structure of generalized orthogonal matrices are given, the relationship between the generalized orthogonal matrices and the orthogonal matrices are discussed. Necessary and sufficient conditions for the solvability of the matrix inverse problem AX = B, the general expression of solutions, and its procrustes problem are discussed. In addition, the corresponding optimal approximation solutions are presented. Finally, the algorithms and corresponding computational examples are given.
- 1 January 2017
- Published by National Library of Serbia in Filomat
- Vol. 31 (13) , 4023-4031
Open AccessThe generalized orthogonal solutions of the matrix inverse problem AX = B and optimal approximation
In this paper, the generalized orthogonal solutions of the matrix inverse problem AX = B and associated optimal approximation problem are considered. The properties and structure of generalized orthogonal matrices are given, the relationship between the generalized orthogonal matrices and the orthogonal matrices are discussed. Necessary and sufficient conditions for the solvability of the matrix inverse problem AX = B, the general expression of solutions, and its procrustes problem are discussed. In addition, the corresponding optimal approximation solutions are presented. Finally, the algorithms and corresponding computational examples are given.