Convergence, efficiency and dynamics of new fourth and sixth order families of iterative methods for nonlinear systems
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Publication:457763
DOI10.1016/j.cam.2014.06.010zbMath1334.65092OpenAlexW1993447371MaRDI QIDQ457763
José L. Hueso, Carles Teruel, Eulalia Martínez
Publication date: 29 September 2014
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.2014.06.010
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Cites Work
- Unnamed Item
- A family of optimal three-point methods for solving nonlinear equations using two parametric functions
- Construction of optimal order nonlinear solvers using inverse interpolation
- A family of modified Ostrowski's methods with optimal eighth order of convergence
- On the computational efficiency index and some iterative methods for solving systems of nonlinear equations
- A construction of attracting periodic orbits for some classical third-order iterative methods
- Dynamics of a new family of iterative processes for quadratic polynomials
- Modified Jarratt method with sixth-order convergence
- A family of multi-point iterative methods for solving systems of nonlinear equations
- An efficient fourth order weighted-Newton method for systems of nonlinear equations
- Iterative methods of order four and five for systems of nonlinear equations
- A fourth-order method from quadrature formulae to solve systems of nonlinear equations
- Variants of Newton's method using fifth-order quadrature formulas
- Complex dynamics of derivative-free methods for nonlinear equations
- Maximum efficiency for a family of Newton-like methods with frozen derivatives and some applications
- Increasing the order of convergence of iterative schemes for solving nonlinear systems
- Immediate and virtual basins of Newton's method for entire functions.
- Optimal Order of One-Point and Multipoint Iteration
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