New and Generalized Convergence Conditions for the Newton-Kantorovich Method
Copyright policy )New and Generalized Convergence Conditions for the Newton-Kantorovich Method
For a nonlinear operator equation on a Banach space a semilocal convergence theorem for Newton's method is proved using a majorant principle. This is shown to provide some weakening of the usual results based on Lipschitz conditions. Few connections are made to the literature on other related work involving majorization techniques.
- Cameron University United States
Newton's method, Banach space, Iterative procedures involving nonlinear operators, Numerical solutions to equations with nonlinear operators, semilocal convergence, nonlinear operator equation, majorant method
Newton's method, Banach space, Iterative procedures involving nonlinear operators, Numerical solutions to equations with nonlinear operators, semilocal convergence, nonlinear operator equation, majorant method
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