A new two-step biparametric family of sixth-order iterative methods free from second derivatives for solving nonlinear algebraic equations

DOI10.1016/j.amc.2009.10.036zbMath1183.65050OpenAlexW2029986120MaRDI QIDQ846445

Young Ik Kim

Publication date: 9 February 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.10.036

zbMATH Keywords

numerical experimentsasymptotic error constantefficiency indexsimple rootnonlinear algebraic equationsixth-order convergencetwo-step biparametric family of sixth-order iterative methods

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Complexity and performance of numerical algorithms (65Y20)

Related Items (4)

A comparison between iterative methods by using the basins of attraction ⋮ A new sixth-order scheme for nonlinear equations ⋮ Dynamics of subfamilies of Ostrowski-Chun methods ⋮ A new third-order Newton-type iterative method for solving nonlinear equations

Uses Software

• Mathematica

Cites Work

• Some sixth-order variants of Ostrowski root-finding methods
• Two new families of sixth-order methods for solving nonlinear equations
• New variants of Jarratt's method with sixth-order convergence
• A variant of Jarratt method with sixth-order convergence
• A family of modified Ostrowski methods with accelerated sixth order convergence
• Some Fourth Order Multipoint Iterative Methods for Solving Equations
• A Family of Fourth Order Methods for Nonlinear Equations
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