In a wide range of applications, solving the linear system of equations Ax = b is appeared. One of the best methods to solve the large sparse asymmetric linear systems is the simplified generalized minimal residual (SGMRES(m)) method. Also, some improved versions of SGMRES(m) exist: SGMRES-E(m, k) and SGMRES-DR(m, k). In this paper, an intelligent heuristic method for accelerating the convergence of three methods SGMRES(m), SGMRES-E(m, k), and SGMRES-DR(m, k) is proposed. The numerical results obtained from implementation of the proposed approach on several University of Florida standard matrixes confirm the efficiency of the proposed method.
%0 Journal Article
%1 noauthororeditor
%A Zarch, MohadesehEntezari
%A Fazeli, SeyedAbolfazlShahzadeh
%A Dowlatshahi, Mohammad Bagher
%D 2016
%J Advanced Computational Intelligence: An International Journal (ACII)
%K Algorithms Artificial Heuristic Intelligence Linear SGMRES equations of systems
%N 2
%P 13
%R 10.5121/acii.2016.3201
%T AN INTELLIGENT METHOD FOR ACCELERATING THE CONVERGENCE OF DIFFERENT VERSIONS OF SGMRES ALGORITHM
%U http://aircconline.com/acii/V3N2/3216acii01.pdf
%V 3
%X In a wide range of applications, solving the linear system of equations Ax = b is appeared. One of the best methods to solve the large sparse asymmetric linear systems is the simplified generalized minimal residual (SGMRES(m)) method. Also, some improved versions of SGMRES(m) exist: SGMRES-E(m, k) and SGMRES-DR(m, k). In this paper, an intelligent heuristic method for accelerating the convergence of three methods SGMRES(m), SGMRES-E(m, k), and SGMRES-DR(m, k) is proposed. The numerical results obtained from implementation of the proposed approach on several University of Florida standard matrixes confirm the efficiency of the proposed method.
@article{noauthororeditor,
abstract = {In a wide range of applications, solving the linear system of equations Ax = b is appeared. One of the best methods to solve the large sparse asymmetric linear systems is the simplified generalized minimal residual (SGMRES(m)) method. Also, some improved versions of SGMRES(m) exist: SGMRES-E(m, k) and SGMRES-DR(m, k). In this paper, an intelligent heuristic method for accelerating the convergence of three methods SGMRES(m), SGMRES-E(m, k), and SGMRES-DR(m, k) is proposed. The numerical results obtained from implementation of the proposed approach on several University of Florida standard matrixes confirm the efficiency of the proposed method. },
added-at = {2017-11-16T12:29:40.000+0100},
author = {Zarch, MohadesehEntezari and Fazeli, SeyedAbolfazlShahzadeh and Dowlatshahi, Mohammad Bagher},
biburl = {https://www.bibsonomy.org/bibtex/20f06056d6a1e4c76f8e5b42817ed8018/janakirob},
doi = {10.5121/acii.2016.3201},
interhash = {886c7ce77f362f6f076f05645f61d1b3},
intrahash = {0f06056d6a1e4c76f8e5b42817ed8018},
issn = {2454 - 3934},
journal = {Advanced Computational Intelligence: An International Journal (ACII)},
keywords = {Algorithms Artificial Heuristic Intelligence Linear SGMRES equations of systems},
month = {April},
number = 2,
pages = 13,
timestamp = {2017-11-16T12:29:40.000+0100},
title = {AN INTELLIGENT METHOD FOR ACCELERATING THE CONVERGENCE OF DIFFERENT VERSIONS OF SGMRES ALGORITHM},
url = {http://aircconline.com/acii/V3N2/3216acii01.pdf},
volume = 3,
year = 2016
}