Title : ( Augmented Subspaces in the LSQR Krylov Method )
Authors: Zahra Asgari , Faezeh Toutounian Mashhad , Esmail Babolian ,
Full TextAbstract
The LSQR iterative method is a Krylov subspace method for solving least-squares problems. Early termination is rare, and it is common for LSQR to require many iterations before an approximation of the solution with desired accuracy has been determined. In this paper, we present a restarted LSQR method and we use a new technique for accelerating the convergence of restated by adding some approximate error vectors to the Krylov subspace. The effectiveness of the new method is illustrated by several examples.
Keywords
, Keywords Iterative method Least, squares approximation Krylov subspaces methods LSQR
@article{paperid:1086383,
author = {Zahra Asgari and Toutounian Mashhad, Faezeh and Esmail Babolian},
title = {Augmented Subspaces in the LSQR Krylov Method},
journal = {Iranian Journal of Science and Technology-Transaction A: Science},
year = {2020},
volume = {44},
number = {6},
month = {December},
issn = {1028-6276},
pages = {1661--1665},
numpages = {4},
keywords = {Keywords Iterative method Least-squares approximation Krylov subspaces methods LSQR},
}
%0 Journal Article
%T Augmented Subspaces in the LSQR Krylov Method
%A Zahra Asgari
%A Toutounian Mashhad, Faezeh
%A Esmail Babolian
%J Iranian Journal of Science and Technology-Transaction A: Science
%@ 1028-6276
%D 2020
