Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628042 | Applied Mathematics and Computation | 2014 | 10 Pages |
Abstract
A derivative-free optimal eighth-order family of iterative methods for solving nonlinear equations is constructed using weight functions approach with divided first order differences. Its performance, along with several other derivative-free methods, is studied on the specific problem of Danchick’s reformulation of Gauss’ method of preliminary orbit determination. Numerical experiments show that such derivative-free, high-order methods offer significant advantages over both, the classical and Danchick’s Newton approach.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Carlos Andreu, Noelia Cambil, Alicia Cordero, Juan R. Torregrosa,