Results on the Chebyshev method in banach spaces
From MaRDI portal
Publication:3376215
DOI10.22199/S07160917.1993.0002.00002zbMath1082.65536OpenAlexW2795780118WikidataQ130035782 ScholiaQ130035782MaRDI QIDQ3376215
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 methods ⋮ Semilocal convergence for a class of improved multi-step Chebyshev-Halley-like methods under extended conditions ⋮ A note on some new iterative methods with third-order convergence ⋮ An infinite family of one-step iterators for solving nonlinear equations to increase the order of convergence and a new algorithm of global convergence ⋮ Third-order iterative methods under Kantorovich conditions ⋮ The convergence theorem for a family deformed Chebyshev method in Banach space ⋮ Newton-Kantorovich convergence theorem of a new modified Halley's method family in a Banach space ⋮ A construction procedure of iterative methods with cubical convergence ⋮ Third-order iterative methods for operators with bounded second derivative ⋮ Relaxing convergence conditions for an inverse-free Jarratt-type approximation ⋮ New recurrence relations for Chebyshev method ⋮ Semilocal convergence and \(R\)-order for modified Chebyshev-Halley methods ⋮ Convergence of the variants of the Chebyshev-Halley iteration family under the Hölder condition of the first derivative ⋮ Recurrence relations for the super-Halley method ⋮ Iterative methods for computing the matrix square root ⋮ The effect of Anderson acceleration on superlinear and sublinear convergence ⋮ Chebyshev-Halley's method on Riemannian manifolds ⋮ An Ulm-type method with \(R\)-order of convergence three ⋮ Geometric constructions of iterative functions to solve nonlinear equations ⋮ Dynamical aspects of some convex acceleration methods as purely iterative algorithm for Newton's maps ⋮ Solving nonlinear integral equations of Fredholm type with high order iterative methods ⋮ Resolution of quadratic equations in banach spaces ⋮ Convergence for a family of modified Chebyshev methods under weak condition ⋮ Convergence for a class of improved sixth-order Chebyshev-Halley type methods ⋮ Semilocal convergence analysis on the modifications for Chebyshev-Halley methods under generalized condition ⋮ Semilocal convergence on a family of root-finding multi-point methods in Banach spaces under relaxed continuity condition ⋮ On the multi-point Levenberg-Marquardt method for singular nonlinear equations ⋮ On a family of high-order iterative methods under gamma conditions with applications in denoising ⋮ On the semilocal convergence of the Halley method using recurrent functions ⋮ Modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method ⋮ Different methods for solving STEM problems ⋮ Extended local convergence for some inexact methods with applications ⋮ Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order ⋮ Third-order convergence theorem by using majorizing function for a modified Newton method in Banach space ⋮ Unnamed Item ⋮ Convergence for a class of multi-point modified Chebyshev-Halley methods under the relaxed conditions ⋮ Convergence of the family of the deformed Euler--Halley iterations under the Hölder condition of the second derivative ⋮ An optimization of Chebyshev's method ⋮ On the midpoint method for solving equations ⋮ Chebyshev's approximation algorithms and applications ⋮ An improvement of the region of accessibility of Chebyshev’s method from Newton’s method ⋮ Newton-Kantorovich type convergence theorem for a family of new deformed Chebyshev method ⋮ Ball convergence for two optimal eighth-order methods using only the first derivative ⋮ An improved semilocal convergence analysis for the Chebyshev method ⋮ Ball convergence of some fourth and sixth-order iterative methods ⋮ Ball convergence of a novel Newton-Traub composition for solving equations ⋮ Reduced recurrence relations for the Chebyshev method ⋮ Ball convergence for a three-point method with optimal convergence order eight under weak conditions ⋮ A new concept of convergence for iterative methods: restricted global convergence ⋮ Second-derivative-free variant of the Chebyshev method for nonlinear equations ⋮ On the local convergence of a family of Euler-halley type iterations with a parameter ⋮ Chebyshev method and convexity ⋮ Indices of convexity and concavity. Application to Halley method ⋮ A construction procedure of iterative methods with cubical convergence. II: Another convergence approach ⋮ On some one-point hybrid iterative methods ⋮ Convergence analysis on a class of improved Chebyshev methods for nonlinear equations in Banach spaces