%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 }