Fifth-order iterative methods for solving nonlinear equations

DOI10.1016/j.amc.2006.10.007zbMath1119.65039OpenAlexW2066886709MaRDI QIDQ2371448

Khalida Inayat Noor, Muhammad Aslam Noor

Publication date: 4 July 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.10.007

zbMATH Keywords

algorithmnumerical experimentsnonlinear equationfifth-order convergenceHalley's iterative methodtwo-step predictor-corrector method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items

Family of multipoint with memory iterative schemes for solving nonlinear equations ⋮ A note on fifth-order iterative methods for solving nonlinear equations ⋮ Three novel fifth-order iterative schemes for solving nonlinear equations ⋮ Some higher-order modifications of Newton's method for solving nonlinear equations ⋮ An efficient hybrid method for solving systems of nonlinear equations ⋮ A fifth-order iterative method for solving nonlinear equations ⋮ On a Steffensen-Hermite method of order three

Cites Work

• Iterative methods improving Newton's method by the decomposition method
• Modified iterative methods with cubic convergence for solving nonlinear equations
• Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method
• A new iteration method for solving algebraic equations
• Some developments in general variational inequalities
• An improvement to Ostrowski root-finding method
• Classroom Note:Geometry and Convergence of Euler's and Halley's Methods
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