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
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;
Conference_Titel :
Machine Learning and Cybernetics, 2009 International Conference on
Print_ISBN :
978-1-4244-3702-3
Electronic_ISBN :
978-1-4244-3703-0
DOI :
10.1109/ICMLC.2009.5212567
