Stability of a fourth order bi-parametric family of iterative methods
DOI10.1016/j.cam.2016.01.013zbMath1351.65029OpenAlexW2277074133MaRDI QIDQ329752
Alicia Cordero, Javier G. Maimó, Maria P. Vassileva, Juan Ramón Torregrosa Sánchez
Publication date: 21 October 2016
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.2016.01.013
critical pointsiterative methodsquadratic polynomialsnonlinear equationsBratu's problemdynamical behaviorFatou and Julia setsOstrowski-Chun family
Numerical computation of solutions to systems of equations (65H10) Numerical computation of solutions to single equations (65H05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Nonlinear ordinary differential operators (34L30) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)
Related Items (2)
Cites Work
- Basin attractors for various methods
- Graphic and numerical comparison between iterative methods
- Dynamics of a new family of iterative processes for quadratic polynomials
- Construction of Newton-like iteration methods for solving nonlinear equations
- An analytical and numerical study of the two-dimensional Bratu equation
- Solving nonlinear problems by Ostrowski-Chun type parametric families
- Chaos in King's iterative family
- Variants of Newton's method using fifth-order quadrature formulas
- Basins of attraction for optimal eighth order methods to find simple roots of nonlinear equations
- Dynamics of a family of Chebyshev-Halley type methods
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