Vector least-squares solutions for coupled singular matrix equations

Kilicman, Adem and Abdel Aziz Al Zhour, Zeyad (2007) Vector least-squares solutions for coupled singular matrix equations. Journal of Computational and Applied Mathematics, 206 (2). pp. 1051-1069. ISSN 0377-0427

Full text not available from this repository.

Official URL: http://dx.doi.org/10.1016/j.cam.2006.09.009

Abstract

The weighted least-squares solutions of coupled singular matrix equations are too difficult to obtain by applying matrices decomposition. In this paper, a family of algorithms are applied to solve these problems based on the Kronecker structures. Subsequently, we construct a computationally efficient solutions of coupled restricted singular matrix equations. Furthermore, the need to compute the weighted Drazin and weighted Moore-Penrose inverses; and the use of Tian's work and Lev-Ari's results are due to appearance in the solutions of these problems. The several special cases of these problems are also considered which includes the well-known coupled Sylvester matrix equations. Finally, we recover the iterative methods to the weighted case in order to obtain the minimum D-norm G-vector least-squares solutions for the coupled Sylvester matrix equations and the results lead to the least-squares solutions and invertible solutions, as a special case. © 2006 Elsevier B.V. All rights reserved.

Item Type:Article
Keyword:Generalized inverses, Iterative methods, Kronecker products, Matrix least-squares problems, Matrix norms
Faculty or Institute:Institute for Mathematical Research
Publisher:Elsevier
DOI Number:10.1016/j.cam.2006.09.009
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.cam.2006.09.009
ID Code:8687
Deposited By: Erni Suraya Abdul Aziz
Deposited On:09 Dec 2010 07:20
Last Modified:09 Dec 2010 07:31

Repository Staff Only: item control page

Document Download Statistics

This item has been downloaded for since 09 Dec 2010 07:20.

View statistics for "Vector least-squares solutions for coupled singular matrix equations"


Universiti Putra Malaysia Institutional Repository

Universiti Putra Malaysia Institutional Repository is an on-line digital archive that serves as a central collection and storage of scientific information and research at the Universiti Putra Malaysia.

Currently, the collections deposited in the IR consists of Master and PhD theses, Master and PhD Project Report, Journal Articles, Journal Bulletins, Conference Papers, UPM News, Newspaper Cuttings, Patents and Inaugural Lectures.

As the policy of the university does not permit users to view thesis in full text, access is only given to the first 24 pages only.