A FAMILY OF NEWTON TYPE ITERATIVE PROCESSES

被引：9

作者：

HERNANDEZ, MA

SALANOVA, MA

机构：

[1] Universidad de La Rioja, Dpto. de Matemáticas, Edificio de Magisterio, Logroño, C/Luis de Ulloa s/n

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 1994年 / 51卷 / 3-4期

关键词：

NONLINEAR EQUATIONS; ITERATIVE PROCESSES; OPTIMIZATION; CONVEXITY;

D O I：

10.1080/00207169408804280

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we define an index of the convexity measure by means of the logarithmic operator. As an application, we study the influence of the convexity on Newton method for solving nonlinear equations. Then we define a family of Newton type iterative processes to solve a complex or scalar nonlinear equation, we can always apply an iterative process of this family faster than Newton method.

引用

页码：205 / 214

页数：10

共 9 条

[1] ON HALLEY ITERATION METHOD [J].

GANDER, W .

AMERICAN MATHEMATICAL MONTHLY, 1985, 92 (02) :131-134

[2] A FAMILY OF CHEBYSHEV-HALLEY TYPE METHODS [J].

HERNANDEZ, MA ;

SALANOVA, MA .

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1993, 47 (1-2) :59-63

[3]

Hernandez Veron M. A., 1991, Numerische Mathematik, V59, P273, DOI 10.1007/BF01385780

[4]

HOUSEHOLDER A. S., 1970, NUMERICAL TREATMENT

[5]

Kantorovich LV, 1982, FUNCTIONAL ANAL

[6]

Millman R. S., 1977, ELEMENTS DIFFERENTIA

[7]

Ostrowski A.M., 1973, SOLUTION EQUATIONS E

[8] A UNIFIED CONVERGENCE THEORY FOR A CLASS OF ITERATIVE PROCESSES [J].

RHEINBOLDT, WC .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1968, 5 (01) :42-+

[9]

Roberts A.W., 1973, CONVEX FUNCTIONS

← 1 →