Root Finding by High Order Iterative Methods Based on Quadratures

Autor:	Graça, Mario M., Lima, Pedro M.
Rok vydání:	2014
Předmět:	Mathematics - Numerical Analysis 65D20
Druh dokumentu:	Working Paper
Popis:	We discuss a recursive family of iterative methods for the numerical approximation of roots of nonlinear functions in one variable. These methods are based on Newton-Cotes closed quadrature rules. We prove that when a quadrature rule with $n+1$ nodes is used the resulting iterative method has convergence order at least $n+2$, starting with the case $n=0$ (which corresponds to the Newton's method).
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1409.2526 Zobrazit plný text záznamu View this record from Arxiv