Recurrence relations for rational cubic methods, part I. The Halley method

Geometric constructions of iterative functions to solve nonlinear equations

Journal of Computational and Applied Mathematics

Third-order iterative methods without using any Fréchet derivative

Journal of Computational and Applied Mathematics - Special issue: Selected papers from the conference on computational and mathematical methods for science and engineering (CMMSE-2002) Alicante University, Spain, 20-25 september 2002

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

Recurrence relations for a Newton-like method in Banach spaces

Journal of Computational and Applied Mathematics

A family of Halley-Chebyshev iterative schemes for non-Fréchet differentiable operators

Journal of Computational and Applied Mathematics

An optimization of Chebyshev's method

Journal of Complexity

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

Journal of Computational and Applied Mathematics

Third-order family of methods in Banach spaces

Computers & Mathematics with Applications

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

Numerical Algorithms

Semilocal convergence of a sixth-order Jarratt method in Banach spaces

Numerical Algorithms

Convergence of the modified Halley's method for multiple zeros under Hölder continuous derivative

Numerical Algorithms

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

Journal of Computational and Applied Mathematics

Recurrence relations for semilocal convergence of a fifth-order method in Banach spaces

Numerical Algorithms

Semilocal convergence of a modified multi-point Jarratt method in Banach spaces under general continuity condition

Numerical Algorithms

Semilocal convergence of a sixth-order method in Banach spaces

Numerical Algorithms

An infinite family of one-step iterators for solving nonlinear equations to increase the order of convergence and a new algorithm of global convergence

Computers & Mathematics with Applications

Convergence analysis for a family of improved super-Halley methods under general convergence condition

Numerical Algorithms

Semilocal convergence and R-order for modified Chebyshev-Halley methods

Numerical Algorithms