A modified Newton-Jarratt's composition

作者：Cordero Alicia^*; Hueso Jose L; Martinez Eulalia; Torregrosa Juan R

来源：Numerical Algorithms, 2010, 55(1): 87-99.

DOI：10.1007/s11075-009-9359-z

• Nonlinear equations and systems
• Newton's method
• Fixed point iteration
• Convergence order

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.

• 出版日期2010-9