High order nonlinear solver

Article type: Research Article

Authors: Neta, B.^{a; *} | Johnson, Anthony N.^b

Affiliations: [a] Naval Postgraduate School, Department of Applied Mathematics, Monterey, CA 93943, USA | [b] United States Military Academy, Department of Mathematical Sciences, West Point, NY 10996, USA

Correspondence: [*] Corresponding author. E-mail: byneta@gmail.com or bneta@nps.edu.

Abstract: An eighth order method for finding simple zeros of nonlinear functions is developed. The method requires two function- and three derivative-evaluation per step. If we define informational efficiency of a method as the order per function evaluation, we find that our method has informational efficiency of 1.6.

DOI: 10.3233/JCM-2008-84-602

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 8, no. 4-6, pp. 245-250, 2008