A convergence analysis of an \(R\)-order four method with reduced computational cost in Banach spaces (Q2927780)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A convergence analysis of an \(R\)-order four method with reduced computational cost in Banach spaces |
scientific article; zbMATH DE number 6365699
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A convergence analysis of an \(R\)-order four method with reduced computational cost in Banach spaces |
scientific article; zbMATH DE number 6365699 |
Statements
4 November 2014
0 references
Banach space
0 references
Newton's method
0 references
local convergence
0 references
radius of convergence
0 references
fourth-order iterative method
0 references
nonlinear operator equations
0 references
numerical examples
0 references
A convergence analysis of an \(R\)-order four method with reduced computational cost in Banach spaces (English)
0 references
The authors study the local convergence of a fourth-order iterative method for solving nonlinear operator equations in Banach spaces. This paper complements previous studies about the semilocal convergence of such methods. In fact, in this work the authors assume weaker conditions than in the semi-local case. Some numerical examples are shown to illustrate the theoretical results.
0 references
0.8679906725883484
0 references
0.8599310517311096
0 references
0.8591504096984863
0 references
0.8580815196037292
0 references
