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Your search keyword '"HERNÁNDEZ-VERÓN, M. A."' showing total 8 results
Start Over Author "HERNÁNDEZ-VERÓN, M. A." Journal numerical algorithms
8 results on '"HERNÁNDEZ-VERÓN, M. A."'

8. Semilocal convergence of a k-step iterative process and its application for solving a special kind of conservative problems.

Author

Hernández-Verón, M., Martínez, Eulalia, and Teruel, Carles

Subjects
*NONLINEAR equations, *EQUATIONS, *STOCHASTIC convergence, *INTEGRAL equations, *MECHANICS (Physics)
Abstract

In this paper, we analyze the semilocal convergence of k-steps Newton's method with frozen first derivative in Banach spaces. The method reaches order of convergence k + 1. By imposing only the assumption that the Fréchet derivative satisfies the Lipschitz continuity, we define appropriate recurrence relations for obtaining the domains of convergence and uniqueness. We also define the accessibility regions for this iterative process in order to guarantee the semilocal convergence and perform a complete study of their efficiency. Our final aim is to apply these theoretical results to solve a special kind of conservative systems. [ABSTRACT FROM AUTHOR]

Published
2017
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