Convergence of a class of efficient quadrature-based predictor-corrector methods for root-finding

DOI10.1016/J.AMC.2014.12.031zbMath1338.65128OpenAlexW2077178378MaRDI QIDQ298698

Cory L. Howk

Publication date: 21 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.12.031

zbMATH Keywords

Newton's methodnonlinear equationsroot-findingquadrature-based technique

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Numerical quadrature and cubature formulas (65D32)

Related Items (1)

A class of efficient quadrature-based predictor-corrector methods for solving nonlinear systems

Cites Work

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• Some quadrature based three-step iterative methods for non-linear equations
• Some variant of Newton's method with third-order convergence.
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• On Newton-type methods with cubic convergence
• A simple modification of Newton's method to achieve convergence of order \(1+\sqrt 2\)
• The improvements of modified Newton's method
• A variant of Newton's method with accelerated third-order convergence

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