Optimal iterative methods for finding multiple roots of nonlinear equations using free parameters

• DOI: 10.1007/s10910-017-0813-1
• Publication Date: 2017-10-04T21:48:14Z
• Authors: Fiza Zafar; Alicia Cordero; R. Quratulain; Juan R. Torregrosa
• Keywords: Chemical reactor; Iterative methods; Nonlinear equations; 0101 mathematics; Multiple roots; MATEMATICA APLICADA; 01 natural sciences

[EN] In this paper, we propose a family of optimal eighth order convergent iterative methods for multiple roots with known multiplicity with the introduction of two free parameters and three univariate weight functions. Also numerical experiments have applied to a number of academical test functions and chemical problems for different special schemes from this family that satisfies the conditions given in convergence result.<br/>This research was partially supported by Ministerio de Economia y Competitividad MTM2014-52016-C02-2-P and Generalitat Valenciana PROMETEO/2016/089.<br/>