A significant improvement on Newton's iterative method

DOI10.1007/BF02452492zbMath0940.65047OpenAlexW2312423573MaRDI QIDQ1818207

Xin-Yuan Wu

Publication date: 10 July 2000

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02452492

zbMATH Keywords

monotonicityNewton's methodquadratic convergencenonlinear equationcomputational efficiencyLyapunov's methodtranscendental equation

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Complexity and performance of numerical algorithms (65Y20)

Related Items (4)

Aitken type methods with high efficiency ⋮ Note on the improvement of Newton's method for system of nonlinear equations ⋮ Parametric iterative methods of second-order for solving nonlinear equation ⋮ Newton-type iterative methods for finding zeros having higher multiplicity

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