Solving nonlinear problems by Ostrowski-Chun type parametric families
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Publication:2263710
DOI10.1007/s10910-014-0432-zzbMath1326.65061OpenAlexW1988151191MaRDI QIDQ2263710
Javier G. Maimó, Juan Ramón Torregrosa Sánchez, Alicia Cordero, Maria P. Vassileva
Publication date: 19 March 2015
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10910-014-0432-z
convergencesystem of nonlinear equationsnonlinear equationdivided differencesiterative schemesefficiency indexderivative-freeOstrowski methodChun's method
Numerical computation of solutions to systems of equations (65H10) Numerical computation of solutions to single equations (65H05)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Fourth- and fifth-order methods for solving nonlinear systems of equations: an application to the global positioning system
- Pseudocomposition: A technique to design predictor-corrector methods for systems of nonlinear equations
- Low-complexity root-finding iteration functions with no derivatives of any order of convergence
- A class of Steffensen type methods with optimal order of convergence
- I. Numerical nonlinear analysis: Differential methods and optimization applied to chemical reaction rate determination
- Construction of Newton-like iteration methods for solving nonlinear equations
- On efficient weighted-Newton methods for solving systems of nonlinear equations
- A variant of Steffensen's method of fourth-order convergence and its applications
- An efficient fourth order weighted-Newton method for systems of nonlinear equations
- On a novel fourth-order algorithm for solving systems of nonlinear equations
- Variants of Newton's method using fifth-order quadrature formulas
- Solving coupled Lane-Emden boundary value problems in catalytic diffusion reactions by the Adomian decomposition method
- The wavelet methods to linear and nonlinear reaction-diffusion model arising in mathematical chemistry
- A multi-step class of iterative methods for nonlinear systems
- Increasing the order of convergence of iterative schemes for solving nonlinear systems
- Optimal Order of One-Point and Multipoint Iteration
- Some Fourth Order Multipoint Iterative Methods for Solving Equations
- A Family of Fourth Order Methods for Nonlinear Equations
- On new iterative method for solving systems of nonlinear equations
- A modified Newton-Jarratt's composition
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