Abstract
A reduced composition technique has been used on Newton and Jarratt’s methods in order to obtain an optimal relation between convergence order, functional evaluations and number of operations. Following this aim, a family of methods is obtained whose efficiency indices are proved to be better for systems of nonlinear equations.
Keywords
Nonlinear equations and systems Newton’s method Fixed point iteration Convergence order
Referencia
A. Cordero, J.L. Hueso, E. MartÃÂnez, J.R. Torregrosa. A modified Newton-Jarratt’s composition. Numer Algor (2010) 55:87–99
