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

Volume

6

fYear

2009

fDate

14-16 Aug. 2009

Firstpage

330

Lastpage

333

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Natural Computation, 2009. ICNC '09. Fifth International Conference on

Conference_Location

Tianjin

Print_ISBN

978-0-7695-3736-8

Type

conf

DOI

10.1109/ICNC.2009.713

Filename

5362999