Advances in iterative methods for nonlinear equations

DOI10.1007/978-3-319-39228-8zbMath1356.65002OpenAlexW2526050422MaRDI QIDQ299566

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Publication date: 22 June 2016

Published in: SEMA SIMAI Springer Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-39228-8

Mathematics Subject Classification ID

Collections of articles of miscellaneous specific interest (00B15) Proceedings, conferences, collections, etc. pertaining to numerical analysis (65-06) Numerical computation of solutions to single equations (65H05)

Related Items (25)

CMMSE2017: on two classes of fourth- and seventh-order vectorial methods with stable behavior ⋮ Extended ball convergence for a seventh order derivative free class of algorithms for nonlinear equations ⋮ Highly efficient iterative algorithms for solving nonlinear systems with arbitrary order of convergence \(p + 3\), \(p \geq 5\) ⋮ On general families of multipoint iterations by inverse interpolation and their applications ⋮ Newton-like components in the Chebyshev-Halley family of degree \(n\) polynomials ⋮ Extended convergence ball for an efficient eighth order method using only the first derivative ⋮ Memory in the iterative processes for nonlinear problems ⋮ A highly efficient class of optimal fourth-order methods for solving nonlinear systems ⋮ Extended ball convergence of a seventh order derivative free method for solving system of equations with applications ⋮ Convergence regions for the Chebyshev-Halley family ⋮ Connectivity of the Julia set for the Chebyshev-Halley family on degree \(n\) polynomials ⋮ Avoiding strange attractors in efficient parametric families of iterative methods for solving nonlinear problems ⋮ On the approximation of \(m\)th power divided differences preserving the local order of convergence ⋮ A simple algorithm for high order Newton iteration formulae and some new variants ⋮ Stability and applicability of iterative methods with memory ⋮ Dynamical analysis on cubic polynomials of damped Traub's method for approximating multiple roots ⋮ On Search for All Roots of a System of Quadratic Equations ⋮ Multistep high-order methods for nonlinear equations using Padé-like approximants ⋮ Mean-based iterative methods for solving nonlinear chemistry problems ⋮ Generating root-finder iterative methods of second order: convergence and stability ⋮ Some variants of Halley's method with memory and their applications for solving several chemical problems ⋮ On the effect of the multidimensional weight functions on the stability of iterative processes ⋮ An Efficient Derivative-Free Method for the Solution of Systems of Equations ⋮ Extended three step sixth order Jarratt-like methods under generalized conditions for nonlinear equations ⋮ New iterative methods for solving nonlinear problems with one and several unknowns

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