Advanced Modeling and Optimization

Abstract for Paper 2 of Volume 2, Number 3, 2000, pp. 122-134


Numerical experiments on attraction basin


Octavian Cira
“Aurel Vlaicu“ University of Arad
Department of Mathematics
81, Revolutiei Avenue,
2900 Arad, Romania
E-mail: octavian_cira@hotmail.com

Abstract

In this arcticle we shall study the attraction basins of different iterative methods. There has been built a function that defines the attraction basins of the method and the equation that is to be solved. The graphic representation of this function on a rectangular domain allows us to compare different iterative methods; this, from the point of view of convergence, which is determined by the choice of the initial iteration and the norm choice.