TY - JOUR ID - 2916 TI - On the GTSOR-like Method for the Augmented systems JO - Journal of Mahani Mathematical Research JA - JMMR LA - en SN - 2251-7952 AU - Nasabzadeh, Hamideh AD - Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, P. O. Box 9453155111 Bojnord, Iran; Y1 - 2021 PY - 2021 VL - 10 IS - 1 SP - 131 EP - 140 KW - Linear system KW - SOR-Like method KW - Taylor expansion KW - Augmented systems DO - 10.22103/jmmrc.2021.16445.1121 N2 - In this paper, by using SOR-Like method that introduced by Golub, Wu and Yuan and generalized Taylor expansion method for solving linear systems [F.Toutounian, H. Nasabzadeh, A new method based on the generalized Taylor expansion for computing a series solution of linear systems, Appl. Math. Comput. 248 (2014) 602-609], the GTSOR-Like method is proposed for augmented systems. The convergence analysis and the choice of the parameters of the new method are discussed. While there is no guarantee the SOR-Like method converges for the negative parameter, ω additional parameters of the new method can be adjusted for the corresponding GTSOR-Like method to converge. Finally, numerical examples are given to show that the new method is much more efficient than the SOR-Like method. UR - https://jmmrc.uk.ac.ir/article_2916.html L1 - https://jmmrc.uk.ac.ir/article_2916_f20ffa75964055659632688f6c47780e.pdf ER -