Choosing the most stable members of Kou's family of iterative methods
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Publication:1676008
DOI10.1016/j.cam.2017.02.012zbMath1376.65080OpenAlexW2588438036MaRDI QIDQ1676008
Alicia Cordero, Juan Ramón Torregrosa Sánchez, Lucía Guasp
Publication date: 3 November 2017
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10251/121422
numerical exampleperiodic orbitsbasin of attractioniterative methodnonlinear equationorder of convergencedynamical behaviorKung-Traub's conjectureFatou and Julia sets
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Complex dynamics of a sixth and seventh order family of root finding methods ⋮ A study on the local convergence and complex dynamics of Kou's family of iterative methods ⋮ Mathematical modeling and computational methods ⋮ On a two-step optimal Steffensen-type method: relaxed local and semi-local convergence analysis and dynamical stability ⋮ Local convergence and complex dynamics of a uni-parametric family of iterative schemes ⋮ Unnamed Item ⋮ On the convergence, dynamics and applications of a new class of nonlinear system solvers ⋮ Generating root-finder iterative methods of second order: convergence and stability ⋮ Generalizing the local convergence analysis of a class of $k$-step iterative algorithms with H
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