A family of Newton type iterative methods for solving nonlinear equations

DOI10.3390/a8030786zbMath1461.65080OpenAlexW1718917040MaRDI QIDQ1736714

Sheng Zhang, Xiaofeng Wang, Weiyi Qian, Xiaodong Fan, Yuping Qin

Publication date: 26 March 2019

Published in: Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/a8030786

zbMATH Keywords

nonlinear equationsroot-finding methodsmultipoint iterative methods\(R\)-order convergence

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (max. 100)

Iterative parameter estimation algorithms for dual-frequency signal models ⋮ A new accelerating technique applied to a variant of Cordero-Torregrosa method ⋮ An Ostrowski-type method with memory using a novel self-accelerating parameter ⋮ On a general class of optimal order multipoint methods for solving nonlinear equations ⋮ Efficient methods of optimal eighth and sixteenth order convergence for solving nonlinear equations

Cites Work

• Unnamed Item
• Unnamed Item
• An improvement of Ostrowski's and King's techniques with optimal convergence order eight
• Derivative free two-point methods with and without memory for solving nonlinear equations
• Some eighth-order root-finding three-step methods
• A family of three-point methods of optimal order for solving nonlinear equations
• On the local convergence of a fifth-order iterative method in Banach spaces
• On some computational orders of convergence
• Modified Ostrowski's method with eighth-order convergence and high efficiency index
• A new continuation Newton-like method and its deformation
• A family of Steffensen type methods with seventh-order convergence
• A new family of Newton-type iterative methods with and without memory for solving nonlinear equations
• On an efficient family of derivative free three-point methods for solving nonlinear equations
• A new family of eighth-order iterative methods for solving nonlinear equations
• A non-iterative method for solving non-linear equations
• Remarks on “On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency”
• Optimal Order of One-Point and Multipoint Iteration
• A Family of Fourth Order Methods for Nonlinear Equations
• A new family of modified Ostrowski's methods with accelerated eighth order convergence

This page was built for publication: A family of Newton type iterative methods for solving nonlinear equations