Kantorovich-ostrowski convergence theorems and optimal error bounds for jarratt's iterative method

DOI10.1080/00207169008803805zbMath0751.65032OpenAlexW1975311447MaRDI QIDQ4009717

Dong Chen

Publication date: 27 September 1992

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169008803805

zbMATH Keywords

iterationNewton's methodnonlinear equationsfourth order methodmultipoint iterative methodJarrat's methodexact error constantKantorovich-Ostrowski convergence theorem

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (2)

Standard kantorovich theorem of the chebyshev method on complex plane ⋮ The midpoint method for solving nonlinear operator equations in Banach space

Cites Work

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• A Kantorovich-type convergence analysis for the Gauss-Newton-method
• A method for finding sharp error bounds for Newton's method under the Kantorovich assumptions
• A convergence theorem for Newton-like methods in Banach spaces
• Sharp error bounds for Newton's process
• Affine invariant convergence results for Newton's method
• Konvergenzdiskussion und Fehlerabschätzung für die Newtonsche Methode bei Gleichungssystemen
• Error bounds for Newton’s process derived from the Kantorovich theorem
• The Kantorovich Theorem with Optimal Error Bounds
• Optimal Error Bounds for the Newton–Kantorovich Theorem
• Optimal Order of One-Point and Multipoint Iteration
• The Newton-Kantorovich Theorem

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