Title :
On solutions of matrix equation AX AH = B over some special matrices
Author :
Sheng, Yan-Ping ; Xie, Dongxiu
Author_Institution :
Beijing Inf. Sci. & Technol. Univ., Beijing, China
Abstract :
The solutions and least-squares solutions of matrix equation AX AH = B over skew-Hermitian anti-self orthogonal similar matrices are considered. Necessary and sufficient conditions for the existence of the solutions.
Keywords :
Hermitian matrices; least squares approximations; singular value decomposition; SVD; least-squares solution; matrix equation solution; skew-Hermitian antiself orthogonally-similar matrix; Cybernetics; Equations; Machine learning; matrix equation; skew-Hermitian anti-self orthogonal similar matrix; solvability;
Conference_Titel :
Machine Learning and Cybernetics, 2009 International Conference on
Conference_Location :
Baoding
Print_ISBN :
978-1-4244-3702-3
Electronic_ISBN :
978-1-4244-3703-0
DOI :
10.1109/ICMLC.2009.5212568