Title :
An Iterative Algorithm for the Least Squares Centrosymmetric Solution of a Matrix Equation
Author_Institution :
Dept. of Math., Qingdao Univ. of Sci. & Technol., Qingdao, China
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;
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
DOI :
10.1109/CSO.2011.82
