Derivative free multipoint iterative methods for simple and multiple roots
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Publication:1078980
DOI10.1007/BF01939365zbMath0596.65031OpenAlexW2028420532MaRDI QIDQ1078980
Publication date: 1986
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01939365
stabilityefficiencymultiple rootssimple rootserror constantfourth order methodsthird order methodsderivative free multipoint iterative methods
Related Items (7)
Some substantial modifications and improvements for derivative-free iterative methods and derivative-free transformation for multiple zeros ⋮ Error analysis of a new transformation for multiple zeros finding free from derivative evalua\-tions ⋮ An optimal order method for multiple roots in case of unknown multiplicity ⋮ A sixth order transformation method for finding multiple roots of nonlinear equations and basin attractors for various methods ⋮ An iterative method of global convergence without derivatives in the class of smooth functions ⋮ Improved Muller method and bisection method with global and asymptotic superlinear convergence of both point and interval for solving nonlinear equations ⋮ On developing a novel sixth order transformation method for multiple roots and its basins of attraction
Cites Work
- A derivative-free transformation preserving the order of convergence of iteration methods in case of multiple zeros
- Eine stets quadratische konvergente Modifikation des Steffensen- Verfahrens
- Numerical stability for solving nonlinear equations
- The behavior of a multiplicity independent root-finding scheme in the presence of error
- The Convergence of Multipoint Iterations to Multiple Zeros
- A note on the secant method
- A secant method for multiple roots
- On the behavior of the secant method near a multiple root
- Unnamed Item
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