Generalized approximating splitting iterations for solving linear least squares problems in finite dimensions

In this paper, a new special class of splitting iterations for solving linear least squares problems in finite dimensions is defined and their main properties of strong global convergence to any problem solution are derived. The investigation results prove the new splitting iterations to be a genera...

Full description

Saved in:
Bibliographic Details
Published in:Computational & applied mathematics 2005-08, Vol.24 (2), p.193-208
Main Author: Marti-Lopez, Felipe
Format: Article
Language:English
Subjects:
MATHEMATICS, APPLIED
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, a new special class of splitting iterations for solving linear least squares problems in finite dimensions is defined and their main properties of strong global convergence to any problem solution are derived. The investigation results prove the new splitting iterations to be a generalization of the approximating splitting iterations for solving linear least squares problems in finite dimensions, suggesting their suitability for the robust approximate solution of such problems.
ISSN:1807-0302
DOI:10.1590/S0101-82052005000200003