Results 11 to 20 of about 13,410 (248)
Mathematics, 2021 The motive of this paper is to discuss the local convergence of a two-step Newton-type method of convergence rate three for solving nonlinear equations in Banach spaces.
Akanksha Saxena +4 more
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Semi-Local Convergence of a Seventh Order Method with One Parameter for Solving Non-Linear Equations
Foundations, 2022 The semi-local convergence is presented for a one parameter seventh order method to obtain solutions of Banach space valued nonlinear models. Existing works utilized hypotheses up to the eighth derivative to prove the local convergence.
Christopher I. Argyros +4 more
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Convergence rates of the Heavy-Ball method under the Łojasiewicz property
Mathematical Programming, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aujol, J-F +2 more
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Foundations, 2022 We propose the semi-local convergence of two derivative-free, competing methods of order six to address non-linear equations. The sufficient convergence criteria are the same, making a direct comparison between them possible.
Ioannis K. Argyros +3 more
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Ball Comparison between Two Efficient Weighted-Newton-like Solvers for Equations
Foundations, 2022 We compare the convergence balls and the dynamical behaviors of two efficient weighted-Newton-like equation solvers by Sharma and Arora, and Grau-Sánchez et al.
Ioannis K. Argyros +3 more
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Fractal and Fractional, 2022 Under the same conditions, we propose the extended comparison between two derivative free schemes of order six for addressing equations. The existing convergence technique used the standard Taylor series approach, which requires derivatives up to order ...
Samundra Regmi +3 more
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Infinite dimensional functional convergences in random balls model [PDF]
ESAIM: Probability and Statistics, 2015 Summary: We consider a weighted random ball model generated by a Poisson measure. The macroscopic behaviour of the weight amassed on this model by a configuration has recently received attention. In this paper, we complement the previous finite dimensional distribution fluctuation results and propose functional convergences of such functionals on the ...
Breton, Jean-Christophe, Gobard, Renan
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Non-Ergodic Convergence Analysis of Heavy-Ball Algorithms
Proceedings of the AAAI Conference on Artificial Intelligence, 2019 In this paper, we revisit the convergence of the Heavy-ball method, and present improved convergence complexity results in the convex setting. We provide the first non-ergodic O(1/k) rate result of the Heavy-ball algorithm with constant step size for coercive objective functions.
Sun, Tao +5 more
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Applications of ball spaces theory: fixed point theorems in semimetric spaces and ball convergence
Journal of Fixed Point Theory and Applications, 2022 AbstractIn the paper, we apply some of the results from the theory of ball spaces in semimetric setting. This allows us to obtain fixed point theorems which we believe to be unknown to this day. As a byproduct, we obtain the equivalence of some different notions of completeness in semimetric spaces where the distance function is 1-continuous.
Piotr Nowakowski, Filip Turoboś
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On the Semi-Local Convergence of Two Competing Sixth Order Methods for Equations in Banach Space
Algorithms, 2022 A plethora of methods are used for solving equations in the finite-dimensional Euclidean space. Higher-order derivatives, on the other hand, are utilized in the calculation of the local convergence order. However, these derivatives are not on the methods.
Ioannis K. Argyros +3 more
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