scientific article; zbMATH DE number 7396562

Publication date: 17 September 2021

Full work available at URL: http://www.math.ubbcluj.ro/~nodeacj/download.php?f=212-sha-par-3184-R.pdf

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iterative methods Banach space local convergence Hölder continuity condition

Newton-type methods (49M15) Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15) Numerical approximation and computational geometry (primarily algorithms) (65D99) Nonlinear operators and their properties (47H99) Error analysis and interval analysis (65G99)

Related Items (1)

Extended convergence ball for an efficient eighth order method using only the first derivative

Cites Work

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Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order
Iterative methods of order four and five for systems of nonlinear equations
Local convergence of a parameter based iteration with Hölder continuous derivative in Banach spaces
Convergence of Halley's method for operators with the bounded second Fréchet-derivative in Banach spaces
LOCAL CONVERGENCE FOR SOME THIRD-ORDER ITERATIVE METHODS UNDER WEAK CONDITIONS
SEMILOCAL CONVERGENCE OF A STIRLING-LIKE METHOD IN BANACH SPACES
Local convergence of deformed Halley method in Banach space under Holder continuity conditions
Convergence and Applications of Newton-type Iterations
Local convergence of modified Halley-like methods
A variant of Newton's method with accelerated third-order convergence
A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative
Weerakoon-Fernando method with accelerated third-order convergence for systems of nonlinear equations

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