A note on some recent methods for solving nonlinear equations
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Publication:870179
DOI10.1016/j.amc.2006.06.118zbMath1121.65321OpenAlexW2075308367MaRDI QIDQ870179
Ljiljana D. Petković, Miodrag S. Petković
Publication date: 12 March 2007
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2006.06.118
comparisonconvergencenumerical resultsnonlinear equationscomputational efficiencyroot-finding methodstwo-step methodsOstrowski methodmodified Newton methods
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A new modified secant-like method for solving nonlinear equations ⋮ An optimized derivative-free form of the Potra-Pták method ⋮ Optimal eighth order convergent iteration scheme based on Lagrange interpolation ⋮ Iterative methods for solving nonlinear equations with finitely many roots in an interval ⋮ Finding the solution of nonlinear equations by a class of optimal methods ⋮ A note on ``A family of methods for solving nonlinear equations ⋮ Convergence and spectral analysis of the Frontini-Sormani family of multipoint third order methods from quadrature rule ⋮ A non-iterative method for solving non-linear equations ⋮ Certain improvements of Newton's method with fourth-order convergence ⋮ Newton's method's basins of attraction revisited ⋮ Comparing two techniques for developing higher order two-point iterative methods for solving quadratic equations ⋮ Iterative methods based on the signum function approach for solving nonlinear equations ⋮ Iterative methods for simultaneous computing arbitrary number of multiple zeros of nonlinear equations
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