Remarks on “On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency”
From MaRDI portal
Publication:3097457
DOI10.1137/100805340zbMath1231.65087OpenAlexW2059684352MaRDI QIDQ3097457
Publication date: 10 November 2011
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/100805340
Related Items (28)
On a three-step efficient fourth-order method for computing the numerical solution of system of nonlinear equations and its applications ⋮ Dynamical behaviors of some iterative methods for multiple roots of nonlinear equations ⋮ An efficient class of multipoint root-solvers with and without memory for nonlinear equations ⋮ An efficient fifth order method for solving systems of nonlinear equations ⋮ Simple yet efficient Newton-like method for systems of nonlinear equations ⋮ On efficient two-parameter methods for solving nonlinear equations ⋮ Families of third and fourth order methods for multiple roots of nonlinear equations ⋮ On generalized multipoint root-solvers with memory ⋮ Three-point methods with and without memory for solving nonlinear equations ⋮ A family of higher order derivative free methods for nonlinear systems with local convergence analysis ⋮ Some efficient derivative free methods with memory for solving nonlinear equations ⋮ Two bi-accelerator improved with memory schemes for solving nonlinear equations ⋮ A novel derivative free algorithm with seventh order convergence for solving systems of nonlinear equations ⋮ An improved Newton-Traub composition for solving systems of nonlinear equations ⋮ A family of Newton type iterative methods for solving nonlinear equations ⋮ A novel family of composite Newton-Traub methods for solving systems of nonlinear equations ⋮ Higher order multi-step iterative method for computing the numerical solution of systems of nonlinear equations: application to nonlinear PDEs and ODEs ⋮ On the approximation of \(m\)th power divided differences preserving the local order of convergence ⋮ On some iterative methods with memory and high efficiency index for solving nonlinear equations ⋮ On some efficient techniques for solving systems of nonlinear equations ⋮ On an efficient family of derivative free three-point methods for solving nonlinear equations ⋮ Higher order multi-step Jarratt-like method for solving systems of nonlinear equations: application to PDEs and ODEs ⋮ A novel bi-parametric sixth order iterative scheme for solving nonlinear systems and its dynamics ⋮ Efficient Jarratt-like methods for solving systems of nonlinear equations ⋮ On new computational local orders of convergence ⋮ On Convergence and Efficiency in the Resolution of Systems of Nonlinear Equations from a Local Analysis ⋮ An efficient family of weighted-Newton methods with optimal eighth order convergence ⋮ Generalized newton multi-step iterative methods GMNp,m for solving system of nonlinear equations
This page was built for publication: Remarks on “On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency”
