Results on the Chebyshev method in banach spaces

From MaRDI portal
Publication:3376215

DOI10.22199/S07160917.1993.0002.00002zbMath1082.65536OpenAlexW2795780118WikidataQ130035782 ScholiaQ130035782MaRDI QIDQ3376215

Dong Chen, Ioannis K. Argyros

Publication date: 23 March 2006

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22199/s07160917.1993.0002.00002




Related Items

A construction of attracting periodic orbits for some classical third-order iterative methodsSemilocal convergence for a class of improved multi-step Chebyshev-Halley-like methods under extended conditionsA note on some new iterative methods with third-order convergenceAn infinite family of one-step iterators for solving nonlinear equations to increase the order of convergence and a new algorithm of global convergenceThird-order iterative methods under Kantorovich conditionsThe convergence theorem for a family deformed Chebyshev method in Banach spaceNewton-Kantorovich convergence theorem of a new modified Halley's method family in a Banach spaceA construction procedure of iterative methods with cubical convergenceThird-order iterative methods for operators with bounded second derivativeRelaxing convergence conditions for an inverse-free Jarratt-type approximationNew recurrence relations for Chebyshev methodSemilocal convergence and \(R\)-order for modified Chebyshev-Halley methodsConvergence of the variants of the Chebyshev-Halley iteration family under the Hölder condition of the first derivativeRecurrence relations for the super-Halley methodIterative methods for computing the matrix square rootThe effect of Anderson acceleration on superlinear and sublinear convergenceChebyshev-Halley's method on Riemannian manifoldsAn Ulm-type method with \(R\)-order of convergence threeGeometric constructions of iterative functions to solve nonlinear equationsDynamical aspects of some convex acceleration methods as purely iterative algorithm for Newton's mapsSolving nonlinear integral equations of Fredholm type with high order iterative methodsResolution of quadratic equations in banach spacesConvergence for a family of modified Chebyshev methods under weak conditionConvergence for a class of improved sixth-order Chebyshev-Halley type methodsSemilocal convergence analysis on the modifications for Chebyshev-Halley methods under generalized conditionSemilocal convergence on a family of root-finding multi-point methods in Banach spaces under relaxed continuity conditionOn the multi-point Levenberg-Marquardt method for singular nonlinear equationsOn a family of high-order iterative methods under gamma conditions with applications in denoisingOn the semilocal convergence of the Halley method using recurrent functionsModification of the Kantorovich assumptions for semilocal convergence of the Chebyshev methodDifferent methods for solving STEM problemsExtended local convergence for some inexact methods with applicationsLocal convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence orderThird-order convergence theorem by using majorizing function for a modified Newton method in Banach spaceUnnamed ItemConvergence for a class of multi-point modified Chebyshev-Halley methods under the relaxed conditionsConvergence of the family of the deformed Euler--Halley iterations under the Hölder condition of the second derivativeAn optimization of Chebyshev's methodOn the midpoint method for solving equationsChebyshev's approximation algorithms and applicationsAn improvement of the region of accessibility of Chebyshev’s method from Newton’s methodNewton-Kantorovich type convergence theorem for a family of new deformed Chebyshev methodBall convergence for two optimal eighth-order methods using only the first derivativeAn improved semilocal convergence analysis for the Chebyshev methodBall convergence of some fourth and sixth-order iterative methodsBall convergence of a novel Newton-Traub composition for solving equationsReduced recurrence relations for the Chebyshev methodBall convergence for a three-point method with optimal convergence order eight under weak conditionsA new concept of convergence for iterative methods: restricted global convergenceSecond-derivative-free variant of the Chebyshev method for nonlinear equationsOn the local convergence of a family of Euler-halley type iterations with a parameterChebyshev method and convexityIndices of convexity and concavity. Application to Halley methodA construction procedure of iterative methods with cubical convergence. II: Another convergence approachOn some one-point hybrid iterative methodsConvergence analysis on a class of improved Chebyshev methods for nonlinear equations in Banach spaces