A note on the convergence of Halley's method for solving operator equations

DOI10.1017/S0334270000007542zbMath0842.65035OpenAlexW2135113956MaRDI QIDQ4868594

Shiming Zheng, Desmond A. Robbie

Publication date: 24 July 1996

Published in: The Journal of the Australian Mathematical Society. Series B. Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0334270000007542

zbMATH Keywords

convergenceiterative methodnonlinear operator equationHalley method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (5)

Third-order methods from quadrature formulae for solving systems of nonlinear equations. ⋮ On the \(R\)-order of the Halley method ⋮ A generalization of the Kantorovich type assumptions for Halley's method ⋮ A NOTE ON THE SEMILOCAL CONVERGENCE OF CHEBYSHEV’S METHOD ⋮ On Newton's midpoint-type iterative Scheme's convergence

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