A Newton-like method for solving some boundary value problems.
-
1
Universidad de La Rioja
info
ISSN: 0163-0563
Año de publicación: 2002
Volumen: 23
Número: 7
Páginas: 791-805
Tipo: Artículo
Otras publicaciones en: Numerical Functional Analysis and Optimization
Resumen
We use a Newton-like method for solving a nonlinear operator equation in a Banach space. A semilocal convergence result is provided in which the basic assumption is that the Frechet-derivative of the nonlinear operator is Hölder continuous on some open ball centered at the initial guess. We apply this study to solve a boundary value problem.