Chebyshev-secant-type methods for non-differentiable operators
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Publication:1949821
DOI10.1007/s00032-012-0189-4zbMath1282.47073OpenAlexW2027551100MaRDI QIDQ1949821
Ioannis K. Argyros, José Manuel Gutiérrez Jimenez, José Antonio Ezquerro, Miguel A. Hernández, Saïd Hilout
Publication date: 17 May 2013
Published in: Milan Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00032-012-0189-4
Chebyshev methodsemilocal convergenceBanach spacenondifferentiable operatorsecant methoddivided differenceNewton (like) method
Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)
Related Items (4)
On semilocal convergence of two step Kurchatov method ⋮ Extended two-step-Kurchatov method for solving Banach space valued nondifferentiable equations ⋮ A class of third order iterative Kurchatov-Steffensen (derivative free) methods for solving nonlinear equations ⋮ On semilocal convergence of three-step Kurchatov method under weak condition
Cites Work
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- Analysing the efficiency of some modifications of the secant method
- Recurrence relations for rational cubic methods. II: The Chebyshev method
- On some computational orders of convergence
- A family of Halley-Chebyshev iterative schemes for non-Fréchet differentiable operators
- The secant method and fixed points of nonlinear operators
- Regula-falsi-Verfahren mit konsistenter Steigung und Majorantenprinzip
- A uniparametric family of iterative processes for solving nondifferentiable equations
- The secant method for nondifferentiable operators
- A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space
- An optimization of Chebyshev's method
- On the semilocal convergence of efficient Chebyshev-secant-type methods
- Convergence and Applications of Newton-type Iterations
- CONSTRUCTION OF DERIVATIVE-FREE ITERATIVE METHODS FROM CHEBYSHEV'S METHOD
- Chebyshev's approximation algorithms and applications
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