University of Guilan Journal of Mathematical Modeling 2345-394X 7 4 2019 12 01 A new iteration method for solving non-Hermitian positive definite linear systems 337 347 3647 10.22124/jmm.2019.13057.1257 EN Hamideh Nasabzadeh Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, P. O. Box 9453155111, Bojnord, Iran Journal Article 2019 04 23 In this paper, based on the single-step Hermitian and Skew-Hermitian (SHSS) iteration method [C.-X. Li, S.-L. Wu, A single-step method for non-Hermitian positive definite linear systems, Appl. Math. Lett. 44 (2015) 26-29] and by using the 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], a new method (GT-SHSS) is introduced to solve non-Hermitian positive definite linear systems. The convergence properties of the new method are discussed. We show that by using suitable parameters, the GT-SHSS iteration method is faster than the corresponding SHSS iteration method. The numerical examples confirm the effectiveness of the new method. https://jmm.guilan.ac.ir/article_3647_513e092fa2327b1e0c69d83fe2ae5f3d.pdf