Composite Fourth Order Newton Type Method for Simple Root

DOI10.1080/15502280802069889zbMath1166.65020OpenAlexW2021304609MaRDI QIDQ3540606

Dhiman Basu

Publication date: 24 November 2008

Published in: International Journal for Computational Methods in Engineering Science and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15502280802069889

zbMATH Keywords

system of nonlinear equationsTaylor seriesnonlinear equationsthird-order convergenceNewton type methodssimple rootfourth-order convergencecomposite schemes

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Numerical computation of solutions to single equations (65H05)

Related Items (2)

Family of Cubically Convergent Schemes Using Inverse Newton Function for Multiple Roots ⋮ Optimal fourth and eighth-order iterative methods for non-linear equations

Cites Work

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• A composite fourth-order iterative method for solving nonlinear equations
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• Geometric constructions of iterative functions to solve nonlinear equations
• A modified Newton method for rootfinding with cubic convergence.
• Some variant of Newton's method with third-order convergence.
• On Newton-type methods with cubic convergence
• The improvements of modified Newton's method
• A composite third order Newton-Steffensen method for solving nonlinear equations
• A variant of Newton's method with accelerated third-order convergence

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