Open AccessIntroduction to a family of Thukral k-order method for finding multiple zeros of nonlinear equations
Author(s) -
R. Thukral
Publication year - 2017
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v13i3.6146
Subject(s) - mathematics , nonlinear system , iterative method , multiplicity (mathematics) , order (exchange) , convergence (economics) , local convergence , mathematical analysis , mathematical optimization , physics , finance , quantum mechanics , economics , economic growth
A new one-point k-order iterative method for finding zeros of nonlinear equations having unknown multiplicity is introduced. In terms of computational cost the new iterative method requires k+1 evaluations of functions per iteration. It is shown that the new iterative method has a convergence of order k.