Two stage mixed-type splitting iterative methods with applications

被引：3
|
作者：
Najafi, H. Saberi [1 ]
Edalatpanah, S. A. [1 ,2 ]
机构：
[1] Univ Guilan, Fac Math Sci, Dept Appl Math, POB 41335-1914, Rasht, Iran
[2] Islamic Azad Univ, Lahijan Branch, Young Researchers Club, Lahijan, Iran
来源：
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE | 2013年 / 7卷 / 02期
关键词：
Two stage iterative method; Splitting; Comparison theorems; Spectral radius; SOR; AOR; SSOR; SAOR; M-matrix;
D O I：
10.1016/j.jtusci.2013.03.003
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We present a class of two stage iterative methods, called two stage mixed-type splitting (TMS) algorithm, and analyze the convergence of this method for solving large nonsingular system of equations Ax = b. Based on this new method, we establish another two stage models such as two stage (SOR, AOR, SSOR, SAOR) algorithms. The convergence of these algorithms is discussed, under the condition that A is Z-matrix. Besides, convergence is further studied for splitting of M-matrix. Numerical example is also reported to confirm the convergence analysis. (C) 2013 Taibah University. Production and hosting by Elsevier B.V. All rights reserved.
引用
收藏
页码：35 / 43
页数：9
相关论文
共 50 条
  • [41] Advancing Spectral Clustering for Categorical and Mixed-Type Data: Insights and Applications
    Di Nuzzo, Cinzia
    MATHEMATICS, 2024, 12 (04)
  • [42] On the theory of mixed-type equations
    Soldatov A.P.
    Journal of Mathematical Sciences, 2005, 129 (1) : 3670 - 3679
  • [43] Spectral Properties of a Solution to the Gellerstedt Problem for Mixed-Type Equations and Their Applications
    K. B. Sabitov
    A. N. Kuchkarova
    Siberian Mathematical Journal, 2001, 42 : 961 - 974
  • [44] Histological mixed-type as an independent prognostic factor in stage I gastric carcinoma
    Komatsu, Shuhei
    Ichikawa, Daisuke
    Miyamae, Mahito
    Shimizu, Hiroki
    Konishi, Hirotaka
    Shiozaki, Atsushi
    Fujiwara, Hitoshi
    Okamoto, Kazuma
    Kishimoto, Mitsuo
    Otsuji, Eigo
    WORLD JOURNAL OF GASTROENTEROLOGY, 2015, 21 (02) : 549 - 555
  • [45] On Two Iterative Methods for Mixed Monotone Variational Inequalities
    Lu, Xiwen
    Xu, Hong-Kun
    Yin, Ximing
    FIXED POINT THEORY AND APPLICATIONS, 2010,
  • [46] Additive, Multiplicative and Iterative Splitting Methods for Maxwell Equations: Algorithms and Applications
    Geiser, Juergen
    Bartecki, Karsten
    INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017), 2018, 1978
  • [47] On Two Iterative Methods for Mixed Monotone Variational Inequalities
    Xiwen Lu
    Hong-Kun Xu
    Ximing Yin
    Fixed Point Theory and Applications, 2010
  • [48] Iterative Operator-Splitting Methods for Nonlinear Differential Equations and Applications
    Geiser, Juergen
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2011, 27 (05) : 1026 - 1054
  • [49] A comparison of two dissimilarity functions for mixed-type predictor variables in the δ-machine
    Yuan, Beibei
    Heiser, Willem
    de Rooij, Mark
    ADVANCES IN DATA ANALYSIS AND CLASSIFICATION, 2022, 16 (04) : 875 - 907
  • [50] Multicomponent splitting iterative methods
    Samarskii, AA
    Vabishchevich, PN
    DOKLADY AKADEMII NAUK, 1997, 354 (03) : 310 - 312
12345