Results 1 to 10 of about 209 (65)
Order of Convergence and Dynamics of Newton–Gauss-Type Methods
Fractal and Fractional, 2023 On the basis of the new iterative technique designed by Zhongli Liu in 2016 with convergence orders of three and five, an extension to order six can be found in this paper. The study of high-convergence-order iterative methods under weak conditions is of
Ramya Sadananda +3 more
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A Combined Conjugate Gradient Quasi-Newton Method with Modification BFGS Formula
International Journal of Analysis and Applications, 2023 The conjugate gradient and Quasi-Newton methods have advantages and drawbacks, as although quasi-Newton algorithm has more rapid convergence than conjugate gradient, they require more storage compared to conjugate gradient algorithms.
Mardeen Sh. Taher, Salah G. Shareef
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Mathematics, 2023 In recent years, some Newton-type schemes with noninteger derivatives have been proposed for solving nonlinear transcendental equations by using fractional derivatives (Caputo and Riemann–Liouville) and conformable derivatives.
Giro Candelario +3 more
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Newton-Type Methods for Solution of the Electric Network Equations
Trends in Computational and Applied Mathematics, 2002 Electric newtork equations give rise to interesting mathematical models that must be faced with efficient numerical optimization techniques. Here, the classical power flow problem represented by a nonlinear system of equations is solved by inexact Newton
L.V. BARBOSA +2 more
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On the Convergence Rate of Quasi-Newton Methods on Strongly Convex Functions with Lipschitz Gradient
Mathematics, 2023 The main results of the study of the convergence rate of quasi-Newton minimization methods were obtained under the assumption that the method operates in the region of the extremum of the function, where there is a stable quadratic representation of the ...
Vladimir Krutikov +3 more
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Reducing Chaos and Bifurcations in Newton-Type Methods
Abstract and Applied Analysis, 2013 We study the dynamics of some Newton-type iterative methods when they are applied of polynomials degrees two and three. The methods are free of high-order derivatives which are the main limitation of the classical high-order iterative schemes.
S. Amat, S. Busquier, Á. A. Magreñán
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A Family of Newton Type Iterative Methods for Solving Nonlinear Equations
Algorithms, 2015 In this paper, a general family of n-point Newton type iterative methods for solving nonlinear equations is constructed by using direct Hermite interpolation.
Xiaofeng Wang +4 more
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Some approximate Gauss–Newton-type methods for nonlinear ill-posed problems; pp. 227–237 [PDF]
Proceedings of the Estonian Academy of Sciences, 2013 This paper treats numerical methods for solving the nonlinear ill-posed equation F(x) = 0, where the operator F is a Fréchet differentiable operator from one Hilbert space into another Hilbert space.
Inga Kangro, Raul Kangro, Otu Vaarmann
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Mathematics, 2020 In the recent literature, some fractional one-point Newton-type methods have been proposed in order to find roots of nonlinear equations using fractional derivatives.
Giro Candelario +2 more
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A New Globally Convergent Self-Scaling Vm Algorithm for Convex and Nonconvex Optimization [PDF]
Kirkuk Journal of Science, 2011 In unconstrained optimization, the original quasi-Newton condition where is the difference of the gradients at two successive iterations. Li and Fukushima proposed a modified BFGS methods based on a new Quasi –Newton equation where , where is a
Abbas Y. AL-Bayati, Basim A. Hassan
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