New derivative-free iterative family having optimal convergence order sixteen and its applications
Sign Up to like & getrecommendations! Published in 2021 at "Engineering Computations"
DOI: 10.1108/ec-03-2021-0155
Abstract: PurposeThe purpose of the article is to construct a new class of higher-order iterative techniques for solving scalar nonlinear problems.Design/methodology/approachThe scheme is generalized by using the power-mean notion. By applying Neville's interpolating technique, the methods… read more here.
Keywords: derivative free; order; family optimal; convergence order ... See more keywords
A Family of Optimal Eighth Order Iteration Functions for Multiple Roots and Its Dynamics
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematics"
DOI: 10.1155/2021/5597186
Abstract: In this manuscript, we present a new general family of optimal iterative methods for finding multiple roots of nonlinear equations with known multiplicity using weight functions. An extensive convergence analysis is presented to verify the… read more here.
Keywords: eighth order; family optimal; multiple roots; family ... See more keywords