Jan 26, 2019 · 1 Introduction · 2 Construction of the Family · 3 Some Special Cases of Weight Function · 4 Numerical Experiments.

Keeping in view that very few optimal higher order convergent methods exist for multiple roots, we present a new family of optimal eighth order convergent ...

Fiza Zafar , Alicia Cordero, Juan R. Torregrosa: A Family of Optimal Eighth Order Multiple Root Finders with Multivariate Weight Function. FDM 2018: 663-669.

In this study, we introduce a novel weight function-based eighth order derivative-free method for locating repeated roots of nonlinear equations.

Dec 5, 2018 · Keeping in view that very few optimal higher-order convergent methods exist for multiple roots, we present a new family of optimal eighth-order ...

1. Introduction · 2. Construction of the Family · 3. Some Special Cases of Weight Function · 4. Numerical Experiments · 5. Conclusions.

In this contribution, a novel scheme of multiple root finders for nonlinear equations with the univariate and bivariate weight functions is proposed.

Dec 7, 2018 · The numerical experiments and dynamical analysis show that our proposed methods are efficient for determining multiple roots of nonlinear ...

Keeping in view that very few optimal higher-order convergent methods exist for multiple roots, we present a new family of optimal eighth-order convergent ...

An optimal family of eighth-order multiple-zero finders and the dynamics behind their basins of attraction are proposed by considering modified Newton-type ...