A NOTE ON THE SEMILOCAL CONVERGENCE OF CHEBYSHEV'S METHOD

作者：Dilone Manuel A^*; Garcia Olivo Martin; Gutierrez Jose M

来源：Bulletin of the Australian Mathematical Society, 2013, 88(1): 98-105.

DOI：10.1017/S0004972712000743

• nonlinear equations
• iterative methods
• Chebyshev's method
• Kantorovich theory

In this paper we develop a Kantorovich-like theory for Chebyshev's method, a well-known iterative method for solving nonlinear equations in Banach spaces. We improve the results obtained previously by considering Chebyshev's method as an element of a family of iterative processes.

• 出版日期2013-8