Simple geometric constructions of quadratically and cubically convergent iterative functions to solve nonlinear equations
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Publication:2477410
DOI10.1007/s11075-007-9149-4zbMath1137.65030OpenAlexW2054343065MaRDI QIDQ2477410
Publication date: 13 March 2008
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-007-9149-4
Newton's methoditerative methodHalley's methodsuper-Halley methodnonlinear equationsone-parameter familyChebyshev's methodnumerical exmperimentsgeometric construction methods
Related Items (9)
A general approach to the study of the convergence of Picard iteration with an application to Halley's method for multiple zeros of analytic functions ⋮ Efficient families of Newton's method and its variants suitable for non-convergent cases ⋮ An optimal and efficient general eighth-order derivative free scheme for simple roots ⋮ An optimal reconstruction of Chebyshev-Halley type methods for nonlinear equations having multiple zeros ⋮ An Optimal Reconstruction of Chebyshev–Halley-Type Methods with Local Convergence Analysis ⋮ Solving nonlinear equations by a new derivative free iterative method ⋮ Another simple way of deriving several iterative functions to solve nonlinear equations ⋮ Higher-order efficient class of Chebyshev-Halley type methods ⋮ Several new third-order iterative methods for solving nonlinear equations
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