Convergence results for the Super-Halley method using divided differences

zbMath0836.47045MaRDI QIDQ1902335

Ioannis K. Argyros

Publication date: 10 April 1996

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

zbMATH Keywords

Newton's methodsemilocal convergenceBanach spacemonotone convergencedivided differencesChebyshev-Halley methodpartially ordered topological spacemethod of tangent hyperbolasKantorovich lemmasolving nonlinear operator equationsSuper-Halley method

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

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