Title :
An Iteration Method for the Symmetric Ortho-anti-Symmetric Solution of a Class of Matrix Equation
Author :
Fuzhao, Zhou ; Jing, Guo ; Ya, Huang
Author_Institution :
Coll. of Math, & Comput. Sci., Changsha Univ. of Sci. & Technol., Changsha, China
Abstract :
The orthogonal projection iteration for the solutions of a class of constrained matrix equation and the related optimal approximation problem is considered. The iteration method for the symmetric ortho-anti-symmetric solution of the matrix equation AX = B is constructed. The convergence of the method is proved and the estimation of the convergence rate is given. The method converges to its least-norm solution when the equation is consistent. Make slight changes of this iteration method, the related optimal approximation solution can also be obtained.
Keywords :
convergence of numerical methods; iterative methods; matrix algebra; constrained matrix equation; convergence; iteration method; least-norm solution; optimal approximation problem; orthogonal projection iteration; symmetric ortho-antisymmetric solution; Biology computing; Educational institutions; Equations; Iterative methods; Mathematics; Matrix decomposition; Principal component analysis; Remote sensing; Symmetric matrices; System identification; Constrained matrix equation; Optimal approximation solution; Orthogonal projection iteration method; Symmetric ortho-anti-symmetric matrices;
Conference_Titel :
Natural Computation, 2009. ICNC '09. Fifth International Conference on
Conference_Location :
Tianjin
Print_ISBN :
978-0-7695-3736-8
DOI :
10.1109/ICNC.2009.713
