Some substantial modifications and improvements for derivative-free iterative methods and derivative-free transformation for multiple zeros

DOI10.1016/j.amc.2006.02.036zbMath1170.65315OpenAlexW2064542388MaRDI QIDQ856166

Jian-Lin Xia, Xin-Yuan Wu

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.02.036

zbMATH Keywords

error analysisnonlinear equationshigh order of convergencederivative-free iteration methodderivative-free transformation for multiple zerosself-accelerating regula falsizeros finding

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (3)

An exact approach to ridge regression for big data ⋮ A fourth-order derivative-free algorithm for nonlinear equations ⋮ Rapidly convergent Steffensen-based methods for unconstrained optimization

Cites Work

• Derivative free multipoint iterative methods for simple and multiple roots
• A derivative-free transformation preserving the order of convergence of iteration methods in case of multiple zeros
• Results about monotone convergence of Steffensen-like-methods
• Some efficient methods for enclosing simple zeros of nonlinear equations
• A secant method for multiple roots
• On Enclosing Simple Roots of Nonlinear Equations
• A modified regula falsi method for computing the root of an equation
• The “Pegasus” method for computing the root of an equation
• An improved pegasus method for root finding
• Quadratically convergent multiple roots finding method without derivatives
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