Applied Mathematics and Computation, ( ISI ), Volume (294), No (1), Year (2017-1) , Pages (343-352)

Title : ( New methods for computing the Drazin-inverse solution of singular linear systems )

Authors: Faezeh Toutounian Mashhad , Reza Buzhabadi ,

Citation: BibTeX | EndNote

The DGMRES method is an iterative method for computing the Drazin-inverse solution of consistent or inconsistent linear systems of the form Ax = b, where A ∈ C n ×n is a singular and in general non-Hermitian matrix that has an arbitrary index. This method is generally used with restarting. But the restarting often slows down the convergence and DGMRES often stagnates. Based on the LGMRES and GMRES-E methods, we present two new tech- niques for accelerating the convergence of restarted DGMRES by adding some approximate error vectors or approximate eigenvectors (corresponding to a few of the smallest eigenval- ues) to the Krylov subspace. We derive the implementation of these methods and present some numerical examples to show the advantages of these methods.

Keywords

, Drazin, inverse solution DGMRES method LGMRES method GMRES, E method Singular systems Error
برای دانلود از شناسه و رمز عبور پرتال پویا استفاده کنید.

@article{paperid:1061444,
author = {Toutounian Mashhad, Faezeh and Buzhabadi, Reza},
title = {New methods for computing the Drazin-inverse solution of singular linear systems},
journal = {Applied Mathematics and Computation},
year = {2017},
volume = {294},
number = {1},
month = {January},
issn = {0096-3003},
pages = {343--352},
numpages = {9},
keywords = {Drazin-inverse solution DGMRES method LGMRES method GMRES-E method Singular systems Error vector},
}

[Download]

%0 Journal Article
%T New methods for computing the Drazin-inverse solution of singular linear systems
%A Toutounian Mashhad, Faezeh
%A Buzhabadi, Reza
%J Applied Mathematics and Computation
%@ 0096-3003
%D 2017

[Download]