Listar por tema "parameter space"
Mostrando ítems 1-7 de 7
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A biparametric extension of King’s fourth-order methods and their dynamics
(Applied Mathematics and Computation, 05/2016)A class of two-point quartic-order simple-zero finders and their dynamics are investigated in this paper by extending King’s fourth-order family of methods. With the introduction of an error corrector having a weight ... -
A new fourth-order family for solving nonlinear problems and its dynamics
(Journal of Mathematical Chemistry, 03/2015)In this manuscript, a new parametric class of iterative methods for solving nonlinear systems of equations is proposed. Its fourth-order of convergence is proved and a dynamical analysis on low-degree polynomials is made ... -
A study of dynamics via Mobius conjugacy map on a family of sixth-order modified Newton-like multiple-zero finders with bivariate polynomial weight functions
(Journal of Computational and Applied Mathematics, 15/12/2018)A generic family of sixth-order modified Newton-like multiple-zero finders have been proposed in Geum et al. (2016). Among them we select a specific family of iterative methods with uniparametric bivariate polynomial weight ... -
On the dynamics of a triparametric family of optimal fourth-order multiple-zero finders with a weight function of the principal mth root of a function-to function ratio
(Applied Mathematics and Computation, 12/2017)Under the assumption of known root multiplicity m is an element of N, a triparametric family of two-point optimal quartic-order methods locating multiple zeros are investigated in this paper by introducing a weight function ... -
On the election of the damped parameter of a two-step relaxed Newton-type method
(Nonlineard Dynamics, 04/2016)In this paper, we are interested to justified two typical hypotheses that appear in the convergence analysis, |λ|≤2|λ|≤2 and z0z0 sufficient close to z∗z∗ . In order to proof these ideas, the dynamics of a damped ... -
Stability analysis of a parametric family of iterative methods for solving nonlinear models
(Applied Mathematics and Computation, 07/2016)A one-parametric family of fourth-order iterative methods for solving nonlinear systems is presented, proving the fourth-order of convergence of all members in this family, except one of them whose order is five. The methods ... -
Stability study of eighth-order iterative methods for solving nonlinear equations
(Journal of Computational and Applied Mathematics, 01/2016)In this paper, we study the stability of the rational function associated to a known family of eighth-order iterative schemes on quadratic polynomials. The asymptotic behavior of the fixed points corresponding to the ...
