Local convergence of a fast Steffensen-type method on Banach space under weak conditions

被引：0
|
作者：
Argyros I.K. [1 ]
George S. [2 ]
机构：
[1] Department of Mathematical Sciences, Cameron University, Lawton, 73505, OK
[2] Department of Mathematical and Computational Sciences, NIT, 575 025, Karnataka
来源：
| 2017年 / Inderscience Publishers, 29, route de Pre-Bois, Case Postale 856, CH-1215 Geneva 15, CH-1215, Switzerland卷 / 08期
关键词：
Local convergence; Radius of convergence; Restricted convergence domain; Steffensen-type method;
D O I：
10.1504/IJCSM.2017.088975
中图分类号：
学科分类号：
摘要：
This paper is devoted to the study of the seventh-order Steffensen-type methods for solving nonlinear equations in Banach spaces. Using the idea of a restricted convergence domain, we extended the applicability of the seventh-order Steffensen-type methods. Our convergence conditions are weaker than the conditions used in the earlier studies. Numerical examples are also given in this study. Copyright © 2017 Inderscience Enterprises Ltd.
引用
收藏
页码：495 / 505
页数：10
相关论文
共 50 条
  • [31] An optimized Steffensen-type iterative method with memory associated with annuity calculation
    Khdhr, Fuad W.
    Soleymani, Fazlollah
    Saeed, Rostam K.
    Akgul, Ali
    EUROPEAN PHYSICAL JOURNAL PLUS, 2019, 134 (04):
  • [32] Weak convergence conditions for the Newton's method in Banach space using general majorizing sequences
    Argyros, I. K.
    Khattri, S. K.
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 263 : 59 - 72
  • [33] On the Local Convergence of Two-Step Newton Type Method in Banach Spaces under Generalized Lipschitz Conditions
    Saxena, Akanksha
    Argyros, Ioannis K.
    Jaiswal, Jai P.
    Argyros, Christopher
    Pardasani, Kamal R.
    MATHEMATICS, 2021, 9 (06)
  • [34] On an Inverse Free Steffensen-Type Method for the Approximation of Stiff Differential Equations
    Amat, Sergio
    Busquier, Sonia
    Grau-Sanchez, Miquel
    Hernandez-Veron, M. A.
    Rubio, M. J.
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2019, 40 (02) : 119 - 133
  • [35] Extended local convergence for Newton-type solver under weak conditions
    Argyros, Ioannis K.
    George, Santhosh
    Senapati, Kedarnath
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2021, 66 (04): : 757 - 768
  • [36] A two-step Steffensen's method under modified convergence conditions
    Amat, S.
    Busquier, S.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 324 (02) : 1084 - 1092
  • [37] Some new dynamic Steffensen-type inequalities on a general time scale measure space
    El-Deeb, Ahmed A.
    Hwang, Inho
    Park, Choonkil
    Bazighifan, Omar
    AIMS MATHEMATICS, 2022, 7 (03): : 4326 - 4337
  • [38] Local Convergence of an Efficient Multipoint Iterative Method in Banach Space
    Sharma, Janak Raj
    Kumar, Sunil
    Argyros, Ioannis K.
    ALGORITHMS, 2020, 13 (01)
  • [39] Local Convergence for a Fifth Order Traub-Steffensen-Chebyshev-Like Composition Free of Derivatives in Banach Space
    Argyros, Ioannis K.
    George, Santhosh
    NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2018, 11 (01) : 160 - 168
  • [40] On weak convergence of probability measures in a Banach space
    Baushev A.N.
    Journal of Mathematical Sciences, 2002, 109 (6) : 2037 - 2046
12345