NEWTON METHOD FOR MULTIPLE ROOTS

被引：15

作者：

GILBERT, WJ

机构：

[1] University of Waterloo, Waterloo

来源：

COMPUTERS & GRAPHICS | 1994年 / 18卷 / 02期

关键词：

D O I：

10.1016/0097-8493(94)90097-3

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We investigate the basins of attraction in the complex plane of Newton's method for finding multiple roots and illustrate what happens as two simple roots coalesce to form a double root.

引用

页码：227 / 229

页数：3

共 50 条

[1] Geometric mean Newton's method for simple and multiple roots
Lukic, Tibor
Ralevic, Nebojsa M.
APPLIED MATHEMATICS LETTERS, 2008, 21 (01) : 30 - 36
[2] A third-order modification of Newton's method for multiple roots
Chun, Changbum
Neta, Beny
APPLIED MATHEMATICS AND COMPUTATION, 2009, 211 (02) : 474 - 479
[3] Modified Newton's method with third-order convergence and multiple roots
Frontini, M
Sormani, E
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 156 (02) : 345 - 354
[4] On the centroidal mean Newton's method for simple and multiple roots of nonlinear equations
Verma, K. L.
INTERNATIONAL JOURNAL OF COMPUTING SCIENCE AND MATHEMATICS, 2016, 7 (02) : 126 - 143
[5] A new approach to study the dynamics of the modified Newton,s method to multiple roots
Cadenas Roman, Carlos Eduardo
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2019, 62 (01): : 67 - 75
[6] Computing multiple roots of polynomials in stochastic arithmetic with Newton method and approximate GCD
Graillat, Stef
Jezequel, Fabienne
Martins, Enzo Queiros
Spyropoulos, Maxime
2021 23RD INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND NUMERIC ALGORITHMS FOR SCIENTIFIC COMPUTING (SYNASC 2021), 2021, : 45 - 51
[7] Computing quaternionic roots by Newton's method
Janovska, Drahoslava
Opfer, Gerhard
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 2007, 26 : 82 - 102
[8] A mean Newton's method for simple roots
Chi, Chunmei
PROCEEDINGS OF 2009 INTERNATIONAL WORKSHOP ON INFORMATION SECURITY AND APPLICATION, 2009, : 588 - 590
[9] OPTIMAL PARTITIONING OF NEWTON METHOD FOR CALCULATING ROOTS
MEINARDUS, G
TAYLOR, GD
MATHEMATICS OF COMPUTATION, 1980, 35 (152) : 1221 - 1230
[10] A study of accelerated Newton methods for multiple polynomial roots
Aurél Galántai
Csaba J. Hegedűs
Numerical Algorithms, 2010, 54 : 219 - 243

← 1 2 3 4 5 →