New iterative methods for nonlinear equations

DOI10.1016/J.AMC.2007.08.012zbMath1137.65031OpenAlexW2043103940MaRDI QIDQ2479250

Tai-Fang Li, Zhao-Di Xu, Ya-Ling Fang, De-Sheng Li

Publication date: 26 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.08.012

zbMATH Keywords

convergencenumerical examplesnonlinear equationsTaylor expansiontwo-step predictor-corrector type iterative method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (7)

ON HIGHLY EFFICIENT SIMULTANEOUS SCHEMES FOR FINDING ALL POLYNOMIAL ROOTS ⋮ An efficient and straightforward numerical technique coupled to classical Newton's method for enhancing the accuracy of approximate solutions associated with scalar nonlinear equations ⋮ Efficient iterative methods for finding simultaneously all the multiple roots of polynomial equation ⋮ ON EFFICIENT FRACTIONAL CAPUTO-TYPE SIMULTANEOUS SCHEME FOR FINDING ALL ROOTS OF POLYNOMIAL EQUATIONS WITH BIOMEDICAL ENGINEERING APPLICATIONS ⋮ Study of dynamical behavior and stability of iterative methods for nonlinear equation with applications in engineering ⋮ Some families of two-step simultaneous methods for determining zeros of nonlinear equations ⋮ Solving nonlinear equations by a new derivative free iterative method

Cites Work

• Unnamed Item
• New iterative schemes for nonlinear equations
• New classes of iterative methods for nonlinear equations
• Fourth-order variants of Cauchy's method for solving non-linear equations
• A family of new Newton-like methods
• Multivalued variational inequalities and resolvent equations
• Modified Householder iterative method for nonlinear equations

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