Weak sufficient convergence conditions and applications for newton methods
Copyright policy )Weak sufficient convergence conditions and applications for newton methods
For Newton-like methods applied to a nonlinear operator equation on a Banach space the author proves a semilocal convergence result under slightly weakened Newton Kantorovich hypotheses involving Lipschitz as well as center-Lipschitz conditions. Some numerical examples show a modest improvement of the error bounds.
- Cameron University United States
numerical examples, Banach space, Iterative procedures involving nonlinear operators, Newton-like methods, Numerical solutions to equations with nonlinear operators, semilocal convergence, nonlinear operator equation, error bounds, Newton-Kantorovich hypothesis
numerical examples, Banach space, Iterative procedures involving nonlinear operators, Newton-like methods, Numerical solutions to equations with nonlinear operators, semilocal convergence, nonlinear operator equation, error bounds, Newton-Kantorovich hypothesis
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