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On novel classes of iterative methods for solving nonlinear equations

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Publication:2901140
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DOI10.1134/S0965542512020133zbMath1249.65111MaRDI QIDQ2901140

B. Somayeh Mousavi, Fazlollah Soleymani

Publication date: 16 July 2012

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

weight functionnumerical exampleserror analysisconvergence ratenonlinear equationsefficiency indexmultipoint methodssimple root


Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)


Related Items (7)

Efficient optimal eighth-order derivative-free methods for nonlinear equations ⋮ A new family of adaptive methods with memory for solving nonlinear equations ⋮ Computing simple roots by an optimal sixteenth-order class ⋮ Optimized Steffensen-type methods with eighth-order convergence and high efficiency index ⋮ Numerical solution of nonlinear equations by an optimal eighth-order class of iterative methods ⋮ New class of eighth-order iterative zero-finders and their basins of attraction ⋮ Two novel classes of two-step optimal methods for all the zeros in an interval






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