IJPAM: Volume 25, No. 3 (2005)

ON THE NUMERICAL RESOLUTION OF THE SYSTEMS
OF NONLINEAR EQUATIONS USING
A DESCENT LIKE-METHOD

Romulus MilitaruCart. G.Enescu, Bl. D2, Sc. 1, Apt. 5, Craiova, Dolj, 200159, ROMANIA
Department of Applied Mathematics
University of Craiova
13, A.I. Cuza, Craiova, 200585, ROMANIA
e-mail: militaruromulus@yahoo.com


Abstract.We consider a system of nonlinear equations. We study the numerical resolution using a descent-like method. Based on an analysis of the way for choosing the step size, we present an algorithm which exploits better the results of the calculus, contributing to a decrease in the number of accomplished iterations necessary to approximate the exact solution of the above system within a given accuracy. Numerical examples solved using this algorithm are also presented.

Received: November 11, 2005

AMS Subject Classification: 65H10

Key Words and Phrases: descent method, descent step, system of nonlinear equations

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 25
Issue: 3