Results 11 to 20 of about 6,698,594 (332)
Local Convergence for an Improved Jarratt-type Method in Banach Space [PDF]
Int. J. Interact. Multim. Artif. Intell., 2015 20 DOI: 10.9781/ijimai.2015.344 Abstract — We present a local convergence analysis for an improved Jarratt-type methods of order at least five to approximate a solution of a nonlinear equation in a Banach space setting.
I. Argyros, D. González
semanticscholar +2 more sources
IEEE Transactions on Evolutionary Computation, 2016 Zbigniew Michalewicz +1 more
exaly +2 more sources
Convergence of local supermartingales [PDF]
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2020 We characterize the event of convergence of a local supermartingale. Conditions are given in terms of its predictable characteristics and quadratic variation. The notion of stationarily local integrability plays a key role.
Larsson, Martin, Ruf, Johannes
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Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order [PDF]
Journal of Computational and Applied Mathematics, 2015 We present a local convergence analysis for general multi-point-Chebyshev-Halley-type methods (MMCHTM) of high convergence order in order to approximate a solution of an equation in a Banach space setting.
I. Argyros, S. George, Á. Magreñán
semanticscholar +2 more sources
Local Convergence Analysis of Augmented Lagrangian Methods for Piecewise Linear-Quadratic Composite Optimization Problems [PDF]
SIAM Journal on Optimization, 2020 Second-order sufficient conditions for local optimality have been playing an important role in local convergence analysis of optimization algorithms. In this paper, we demonstrate that this condition alone suffices to justify the linear convergence of ...
N. T. V. Hang, M. Sarabi
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Local weak convergence for PageRank [PDF]
The Annals of Applied Probability, 2020 32 pages, 5 ...
Garavaglia, Alessandro +2 more
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On the local convergence of higher order methods in Banach spaces
Fixed Point Theory, 2021 We study the local convergence analysis of two higher-order methods using Hölder continuity condition on the first Fréchet derivative to solve nonlinear equations in Banach spaces. Hölder continuous first derivative is used to extend the applicability of
Debasis Sharma, S. K. Parhi
semanticscholar +1 more source
Convergence of Derivative-Free Iterative Methods with or without Memory in Banach Space
Foundations, 2023 A method without memory as well as a method with memory are developed free of derivatives for solving equations in Banach spaces. The convergence order of these methods is established in the scalar case using Taylor expansions and hypotheses on higher ...
Santhosh George +2 more
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Convergence Analysis and Dynamical Nature of an Efficient Iterative Method in Banach Spaces
Mathematics, 2021 We study the local convergence analysis of a fifth order method and its multi-step version in Banach spaces. The hypotheses used are based on the first Fréchet-derivative only. The new approach provides a computable radius of convergence, error bounds on
Deepak Kumar +3 more
doaj +1 more source
Local Convergence and Dynamical Analysis of a Third and Fourth Order Class of Equation Solvers
Fractal and Fractional, 2021 In this article, we suggest the local analysis of a uni-parametric third and fourth order class of iterative algorithms for addressing nonlinear equations in Banach spaces.
Debasis Sharma +3 more
doaj +1 more source