A new semilocal convergence theorem of Müller's method

DOI10.1016/J.AMC.2007.09.057zbMath1181.65069OpenAlexW2004933190MaRDI QIDQ924428

Weihong Bi, Hongmin Ren, Qing-Biao Wu

Publication date: 16 May 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.09.057

zbMATH Keywords

error estimationsemilocal convergencenonlinear equationMüller's method\(\gamma \)-condition

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (3)

The convergence ball and error analysis of the two-step secant method ⋮ On a two-step optimal Steffensen-type method: relaxed local and semi-local convergence analysis and dynamical stability ⋮ Improved convergence ball and error analysis of Müller's method

Cites Work

• The convergence theorem for a family deformed Chebyshev method in Banach space
• Convergence ball and error analysis of Muller's method
• Convergence on a deformed Newton method
• Convergence on the iteration of Halley family in weak conditions
• A Method for Solving Algebraic Equations Using an Automatic Computer
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