An acceleration of Newton's method: Super-Halley method

Geometric constructions of iterative functions to solve nonlinear equations

Journal of Computational and Applied Mathematics

Convergence of the family of the deformed Euler-Halley iterations under the Hölder condition of the second derivative

Journal of Computational and Applied Mathematics

Convergence of the variants of the Chebyshev-Halley iteration family under the Hölder condition of the first derivative

Journal of Computational and Applied Mathematics

Some variants of Cauchy's method with accelerated fourth-order convergence

Journal of Computational and Applied Mathematics

A simply constructed third-order modifications of Newton's method

Journal of Computational and Applied Mathematics

A family of Newton-like methods based on an exponential model

International Journal of Computer Mathematics

Computing the minimum distance between a point and a NURBS curve

Computer-Aided Design

A construction of attracting periodic orbits for some classical third-order iterative methods

Journal of Computational and Applied Mathematics

An extension of Gander's result for quadratic equations

Journal of Computational and Applied Mathematics

Semilocal convergence of a multipoint fourth-order super-Halley method in Banach spaces

Numerical Algorithms

Semilocal convergence of a continuation method with Hölder continuous second derivative in Banach spaces

Journal of Computational and Applied Mathematics

On diagonally structured problems in unconstrained optimization using an inexact super Halley method

Journal of Computational and Applied Mathematics

Rate of convergence of higher order methods

Applied Numerical Mathematics