ON SOME ITERATIVE PROCESSES.
Abstract
The paper presents a unified treatment of the convergence of two higher-order iterative methods for solving the nonlinear equation P(x) = 0 in a Banach space. Both methods use the second derivative of the operator P, and have a cubic rate of convergence under given conditions. One method is known as the method of tangent hyperbolas, as generalized by M. A. Mertvecova, and the other method is the generalization of Cebysev's method given by N. I. Necepurenko. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1966
- Accession Number
- AD0638615
Entities
People
- R. A. Safiev