A high-order newton-like method

DOI10.1007/s11859-011-0701-7zbMath1249.65113OpenAlexW1996524002MaRDI QIDQ2887494

Jisheng Kou, Lijun Tang, Xiuhua Wang

Publication date: 1 June 2012

Published in: Wuhan University Journal of Natural Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11859-011-0701-7

zbMATH Keywords

Newton's methoditerative methodnonlinear equationasymptotic convergence order

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (1)

A Superquadratic Variant of Newton's Method

Cites Work

• The Jarratt method in Banach space setting
• Some variant of Newton's method with third-order convergence.
• Vector extrapolation methods. Applications and numerical comparison
• Some new variants of Newton's method.
• Some improvements of Jarratt's method with sixth-order convergence
• Acceleration of Convergence of Vector Sequences
• A Polynomial Extrapolation Method for Finding Limits and Antilimits of Vector Sequences
• A new iterative method of asymptotic order 1+√2 for the computation of fixed points
• A variant of Newton's method with accelerated third-order convergence
• Unnamed Item

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