An Iterative Algorithm for the Least Squares Centrosymmetric Solution of a Matrix Equation

Author

Wang, Minghui

Author_Institution

Dept. of Math., Qingdao Univ. of Sci. & Technol., Qingdao, China

fYear

2011

fDate

15-19 April 2011

Firstpage

16

Lastpage

20

Abstract

In this paper, the linear mapping from the constrained solution sets to their independent parameter spaces is constructed, and its properties are studied. Based on these properties and the classical algorithm LSQR for solving the (unconstrained) LS problem, a matrix iterative method that can find the special Centro symmetric solution is proposed. Numerical results are reported that show the efficiency of the proposed method.

Keywords

iterative methods; least squares approximations; matrix algebra; Centro symmetric solution; LSQR; constrained solution; independent parameter spaces; iterative algorithm; least squares centrosymmetric solution; linear mapping; matrix equation; matrix iterative method; Approximation algorithms; Covariance matrix; Equations; Iterative methods; Matrix decomposition; Signal processing algorithms; Symmetric matrices; Centrosymmetric matrix; Iterative algorithm; LSQR; Least squares problem; Matrix equation;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Sciences and Optimization (CSO), 2011 Fourth International Joint Conference on

Conference_Location

Yunnan

Print_ISBN

978-1-4244-9712-6

Electronic_ISBN

978-0-7695-4335-2

Type

conf

DOI

10.1109/CSO.2011.82

Filename

5957601