Convergence ball and error analysis of Muller's method

DOI10.1016/J.AMC.2006.05.167zbMath1117.65070OpenAlexW2160355057MaRDI QIDQ879505

Hongmin Ren, Weihong Bi, Qing-Biao Wu

Publication date: 14 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.167

zbMATH Keywords

numerical exampleserror analysisnonlinear equationconvergence ballestimate of radiusMuller's method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (8)

The convergence ball of Wang's method for finding a zero of a derivative ⋮ Improved local analysis for a certain class of iterative methods with cubic convergence ⋮ Improved convergence ball and error analysis of Müller's method ⋮ Convergence of the modified Halley's method for multiple zeros under Hölder continuous derivative ⋮ A new semilocal convergence theorem of Müller's method ⋮ Convergence ball and error analysis of the Ostrowski-Traub method ⋮ On convergence of a new secant-like method for solving nonlinear equations ⋮ Convergence ball and error analysis of a family of iterative methods with cubic convergence

Cites Work

• The convergence ball of Newton's method and the uniqueness ball of equations under Hölder-type continuous derivatives
• Improved Muller method and bisection method with global and asymptotic superlinear convergence of both point and interval for solving nonlinear equations
• Convergence ball of a modified secant method for finding zero of derivatives
• The convergence ball of the secant method under Hölder continuous divided differences
• A Method for Solving Algebraic Equations Using an Automatic Computer
• Convergence and Complexity of Newton Iteration for Operator Equations
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