Third-order Newton-type methods combined with vector extrapolation for solving nonlinear systems
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Publication:1724500
DOI10.1155/2014/601745zbMath1474.65148OpenAlexW2166420215WikidataQ59039849 ScholiaQ59039849MaRDI QIDQ1724500
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/601745
Cites Work
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- Semilocal convergence of a class of modified super-Halley methods in Banach spaces
- Semilocal convergence analysis for inexact Newton method under weak condition
- Multiscale time-splitting strategy for multiscale multiphysics processes of two-phase flow in fractured media
- Recurrence relations for rational cubic methods. II: The Chebyshev method
- On the semilocal convergence of Newton-Kantorovich method under center-Lipschitz conditions
- Recurrence relations for rational cubic methods. I: The Halley method
- Improved generalized differentiability conditions for Newton-like methods
- Recurrence relations for the super-Halley method
- Extrapolation methods theory and practice
- Généralisations de la transformation de Shanks, de la table de Padé et de l'\(\varepsilon\)-algorithme
- Convergence acceleration for the iterative solution of the equations X = AX + f
- Vector extrapolation methods. Applications and numerical comparison
- Recurrence relations for Chebyshev-type methods
- Local convergence of Newton's method on Lie groups and uniqueness balls
- Convergence behavior for Newton-Steffensen's method under \(\gamma\)-condition of second derivative
- Reducing chaos and bifurcations in Newton-type methods
- Newton-Kantorovich and Smale uniform type convergence theorem for a deformed Newton method in Banach spaces
- On a two-step relaxed Newton-type method
- New general convergence theory for iterative processes and its applications to Newton-Kantorovich type theorems
- Acceleration Techniques for Iterated Vector and Matrix Problems
- Acceleration of Convergence of Vector Sequences
- Acceleration of the convergence of iterative processes and a method of solving systems of non-linear equations
- A Polynomial Extrapolation Method for Finding Limits and Antilimits of Vector Sequences
- A Family of Fourth Order Methods for Nonlinear Equations
- On a Device for Computing the e m (S n ) Transformation
- Chebyshev's approximation algorithms and applications