A unified convergence theory for Newton-type methods for zeros of nonlinear operators in Banach spaces (Q1599143)
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 unified convergence theory for Newton-type methods for zeros of nonlinear operators in Banach spaces |
scientific article; zbMATH DE number 1749892
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A unified convergence theory for Newton-type methods for zeros of nonlinear operators in Banach spaces |
scientific article; zbMATH DE number 1749892 |
Statements
A unified convergence theory for Newton-type methods for zeros of nonlinear operators in Banach spaces (English)
0 references
24 November 2002
0 references
The paper deals with the solution of nonlinear equations in a Banach space setting using Newton-type methods. It provides a unified approach for convergence analysis. The convergence results presented are based upon a majorizing cubic polynomial and some universal constant that incorporates different Lipschitz conditions for the nonlinear operator.
0 references
Newton method
0 references
convergence
0 references
majorizing function
0 references
nonlinear operator equation
0 references
Banach space
0 references
