Local convergence analysis of two iterative methods

被引：1

作者：

George, Santhosh ^{[1
]}

Argyros, Ioannis K. ^{[2
]}

Senapati, Kedarnath ^{[1
]}

Kanagaraj, K. ^{[3
]}

机构：

[1] Natl Inst Technol Karnataka, Dept Math & Computat Sci, Mangaluru 575025, India

[2] Cameron Univ, Dept Math Sci, Lawton, OK 73505 USA

[3] SASTRA Deemed Be Univ, Srinivasa Ramanujan Ctr, Dept Math, Kumbakonam 612001, India

来源：

JOURNAL OF ANALYSIS | 2022年 / 30卷 / 04期

关键词：

Frechet derivative; Order of convergence; Dynamics of iterative method; Iterative method; Banach space; SEMILOCAL CONVERGENCE; RECURRENCE RELATIONS; 5TH-ORDER METHOD; ORDER;

D O I：

10.1007/s41478-022-00415-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider two three-step iterative methods with common first two steps. The convergence order five and six, respectively of these methods are proved using assumptions on the first derivative of the operator involved. We also provide dynamics of these methods

引用

页码：1497 / 1508

页数：12

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