A convergence theorem for Newton-like methods in Banach spaces

An improved error analysis for Newton-like methods under generalized conditions

Journal of Computational and Applied Mathematics

Improved convergence and complexity analysis of Newton's method for solving equations

International Journal of Computer Mathematics

Improved generalized differentiability conditions for Newton-like methods

Journal of Complexity

Inexact Newton-type methods

Journal of Complexity

On the semilocal convergence of efficient Chebyshev-Secant-type methods

Journal of Computational and Applied Mathematics

Extended sufficient semilocal convergence for the Secant method

Computers & Mathematics with Applications

Majorizing sequences for iterative methods

Journal of Computational and Applied Mathematics

Majorizing sequences for Newton's method from initial value problems

Journal of Computational and Applied Mathematics

Weaker conditions for the convergence of Newton's method

Journal of Complexity

Majorizing sequences for iterative procedures in Banach spaces

Journal of Complexity

Secant-type methods and nondiscrete induction

Numerical Algorithms

Estimating upper bounds on the limit points of majorizing sequences for Newton's method

Numerical Algorithms

On the local convergence of fast two-step Newton-like methods for solving nonlinear equations

Journal of Computational and Applied Mathematics

Modified Numerov's method for inverse Sturm-Liouville problems

Journal of Computational and Applied Mathematics

On the Secant method

Journal of Complexity

Unified majorizing sequences for Traub-type multipoint iterative procedures

Numerical Algorithms