The local and semilocal convergence analysis of new Newton-like iteration methods

被引：5

作者：

Karakaya, Vatan ^{[1
]}

Dogan, Kadri ^{[2
]}

Atalan, Yunus ^{[3
]}

Bouzara, Nour El Houda ^{[4
]}

机构：

[1] Yildiz Tech Univ, Dept Math Engn, Davutpasa Campus, Istanbul, Turkey

[2] Artvin Coruh Univ, Dept Comp Engn, City Campus, Artvin, Turkey

[3] Aksaray Univ, Dept Math, Aksaray, Turkey

[4] Univ Sci & Technol, Math Fac, Algiers, Algeria

来源：

TURKISH JOURNAL OF MATHEMATICS | 2018年 / 42卷 / 03期

关键词：

Modified Newton algorithm; Picard S hybrid iteration; semilocal convergence; local convergence;

D O I：

10.3906/mat-1505-16

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to find new iterative Newton-like schemes inspired by the modified Newton iterative algorithm and prove that these iterations are faster than the existing ones in the literature. We further investigate their behavior and finally illustrate the results by numerical examples.

引用

页码：735 / 751

页数：17

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