DocumentCode
3597573
Title
The least-squares solutions of matrix equation (AX AT , BX BT) = (C, D) over bisymmetric matrices
Author
Sheng, Yan-Ping ; Tian, Ru
Author_Institution
Beijing Inf. Sci. & Technol. Univ., Beijing, China
Volume
1
fYear
2009
Firstpage
473
Lastpage
475
Abstract
The solutions and least-square solutions of matrix equation (AX AT, BX BT) = (C, D) over bisymmetric matrices are considered. Necessary and sufficient conditions for the existence of the solutions, the general forms of the solutions and the least-squares solutions are derived.
Keywords
least mean squares methods; matrix algebra; bisymmetric matrix equation; least-squares solution; Cybernetics; Equations; Machine learning; bisymmetric matrices; least-squares solutions; matrix equation; solvability;
fLanguage
English
Publisher
ieee
Conference_Titel
Machine Learning and Cybernetics, 2009 International Conference on
Print_ISBN
978-1-4244-3702-3
Electronic_ISBN
978-1-4244-3703-0
Type
conf
DOI
10.1109/ICMLC.2009.5212567
Filename
5212567
Link To Document