Majorizing functions and two-point Newton-type methods
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Publication:972757
DOI10.1016/j.cam.2010.02.024zbMath1191.65063OpenAlexW2068570425MaRDI QIDQ972757
Ravi P. Agarwal, Ioannis K. Argyros, Jinhai Chen
Publication date: 21 May 2010
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2010.02.024
Banach spaceFréchet derivativesuccessive approximationLipschitz conditionNewton-type methodsemi-local convergence
Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)
Related Items (7)
Local convergence comparison between two novel sixth order methods for solving equations ⋮ Semilocal convergence for a fifth-order Newton's method using recurrence relations in Banach spaces ⋮ Unnamed Item ⋮ Two-step Newton methods ⋮ Unnamed Item ⋮ Study of frozen-type Newton-like method in a Banach space with dynamics ⋮ Fourth-order convergence theorem by using majorizing functions for super-Halley method in Banach spaces
Cites Work
- A new semilocal convergence theorem for Newton's method
- A note on the Kantorovich theorem for Newton iteration
- Über ein Verfahren der Ordnung \(1+\sqrt 2\) zur Nullstellenbestimmung
- The midpoint method for solving nonlinear operator equations in Banach space
- A modified Newton method for rootfinding with cubic convergence.
- Some new variants of Newton's method.
- A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space
- A discretization scheme for some conservative problems
- Computational theory of iterative methods.
- Convergence and numerical analysis of a family of two-step Steffensen's methods
- Accessibility Of Solutions By Newton's Method
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