A Newton-like method for solving some boundary value problems.
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Universidad de La Rioja
info
ISSN: 0163-0563
Year of publication: 2002
Volume: 23
Issue: 7
Pages: 791-805
Type: Article
More publications in: Numerical Functional Analysis and Optimization
Abstract
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.