On bilateral convergence of Halley's method

被引：2

作者：

Podlevskyi, BM ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Appl Problems Mech & Math, UA-79000 Lvov, Ukraine

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2003年 / 83卷 / 04期

关键词：

D O I：

10.1002/zamm.200310035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：282 / 286

页数：5

共 50 条

[41] A LOCAL CONVERGENCE THEOREM FOR THE SUPER-HALLEY METHOD IN A BANACH-SPACE
CHEN, D
ARGYROS, IK
QIAN, Q
APPLIED MATHEMATICS LETTERS, 1994, 7 (05) : 49 - 52
[42] Julia sets for the standard Newton's method, Halley's method, and Schroder's method
Wang Xingyuan
Yu Xuejing
APPLIED MATHEMATICS AND COMPUTATION, 2007, 189 (02) : 1186 - 1195
[43] An acceleration of Newton's method:: Super-Halley method
Gutiérrez, JM
Hernández, MA
APPLIED MATHEMATICS AND COMPUTATION, 2001, 117 (2-3) : 223 - 239
[44] On Newton's method and Halley's method for the principal pth root of a matrix
Guo, Chun-Hua
LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (08) : 1905 - 1922
[45] On the semi-local convergence of Halley's method under a center-Lipschitz condition on the second Frechet derivative
Ren, Hongmin
Argyros, Ioannis K.
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (23) : 11488 - 11495
[46] Convergence of the iteration of Halley's family and Smale operator class in Banach space
Wang, XH
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1998, 41 (07): : 700 - 709
[47] A note on the convergence of the irrational Halley's iterative algorithm for solving nonlinear equations
Vanhille, Christian
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2020, 97 (09) : 1840 - 1848
[48] Convergence of the iteration of Halley's family and Smale operator class in Banach space
王兴华
Science China Mathematics, 1998, (07) : 700 - 709
[49] On the global convergence of a new super halley’s family for solving nonlinear equations
Barrada, Mohammed
Benkhouya, Reda
Lahmer, Mohammed
Chana, Idriss
Engineering Letters, 2021, 29 (04) : 1407 - 1413
[50] Convergence of the iteration of Halley’s family and Smale operator class in Banach space
Xinghua Wang
Science in China Series A: Mathematics, 1998, 41 : 700 - 709

← 1 2 3 4 5 →