On the convergence of King-Werner iteration method in Banach space

被引：0

作者：

Huang, ZD ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310028, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2000年 / 18卷 / 05期

关键词：

information at the center between initial points; King-Werner iteration method; convergence; error estimate;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a Kantorovitch-Ostrowski type convergence theorem and an error estimate of \\f'(z(0))(-1)f(x(n+1))\\/\\f'(z(0))(-1)f(x(n))\\ using the information of higher derivatives at the center between initial points for King-Werner iteration method in Banach space are established.

引用

页码：457 / 466

页数：10

共 50 条

[41] Ball convergence theorems for Halley’s method in Banach space
Ioannis K. Argyros
Hongmin Ren
Journal of Applied Mathematics and Computing, 2012, 38 (1-2) : 453 - 465
[42] 求解带不可微项方程的King-Werner迭代的收敛性
肖胜中
郭子君
华南农业大学学报, 1999, (02) : 114 - 117
[43] Unifying semilocal and local convergence of Newton's method on Banach space with a convergence structure
Argyros, Ioannis K.
Behl, Ramandeep
Motsa, S. S.
APPLIED NUMERICAL MATHEMATICS, 2017, 115 : 225 - 234
[44] 避免导映射求逆的变形King-Werner迭代的收敛性
高怀毅
宁夏大学学报(自然科学版), 2003, (04) : 335 - 337
[45] Convergence of the GETOR iteration method
He, Wenzhang
Huaqiao Daxue Xuebao/Journal of Huaqiao University, 1999, 20 (01): : 6 - 9
[46] THE CONVERGENCE OF A CERTAIN ITERATION METHOD
DZHUMAGAZIYEVA, SK
TIKHOMIROVA, EI
USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1987, 27 (1-2): : 90 - 94
[47] Convergence of Newton's method and inverse function theorem in Banach space
Wang, XH
MATHEMATICS OF COMPUTATION, 1999, 68 (225) : 169 - 186
[48] Local convergence for an improved Jarratt-type method in Banach space
Argyros, Ioannis K.
Gonzalez, Daniel
INTERNATIONAL JOURNAL OF INTERACTIVE MULTIMEDIA AND ARTIFICIAL INTELLIGENCE, 2015, 3 (04): : 20 - 25
[49] Convergence of Newton's method and uniqueness of the solution of equations in Banach space
Wang, XH
IMA JOURNAL OF NUMERICAL ANALYSIS, 2000, 20 (01) : 123 - 134
[50] On the Convergence of Iteration Processes for Semigroups of Nonlinear Mappings in Banach Spaces
Kozlowski, W. M.
Sims, Brailey
COMPUTATIONAL AND ANALYTICAL MATHEMATICS: IN HONOR OF JONATHAN BORWEIN'S 60TH BIRTHDAY, 2013, 50 : 463 - 484

← 1 2 3 4 5 →