A class of Steffensen type methods with optimal order of convergence
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Publication:544063
DOI10.1016/j.amc.2011.02.067zbMath1216.65055OpenAlexW2000643599MaRDI QIDQ544063
Alicia Cordero, Juan Ramón Torregrosa Sánchez
Publication date: 14 June 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10251/52542
iterative methodsnonlinear equationsSteffensen's methodconvergence orderefficiency indexderivative free method
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Cites Work
- Unnamed Item
- Unnamed Item
- High order iterative methods without derivatives for solving nonlinear equations
- Some derivative free quadratic and cubic convergence iterative formulas for solving nonlinear equations
- Steffensen type methods for solving non-linear equations
- A class of two-step Steffensen type methods with fourth-order convergence
- Secant methods for semismooth equations
- On a higher order secant method.
- Variants of Newton's method using fifth-order quadrature formulas
- A Steffensen-like method and its higher-order variants
- On a Steffensen's type method and its behavior for semismooth equations
- Optimal Order of One-Point and Multipoint Iteration
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