Results 11 to 20 of about 318 (192)
Journal of Complexity, 2010 Inexact Newton-type methods are discussed for approximating a locally unique solution of the nonlinear equation \(A(x)^{\#}(F(x)+G(x))=0\) in Banach space. Here \(F\) is a Fréchet-differentiable operator, \(G\) is a continuous operator and \(A(x)^{\#}\) is an analog of the Moore-Penrose generalized inverse of \(A(x)\) which is an approximation of the ...
Argyros, Ioannis K., Hilout, Saïd
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A Newton‐type method and its application [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 We prove an existence and uniqueness theorem for solving the operator equation F(x) + G(x) = 0, where F is a continuous and Gâteaux differentiable operator and the operator G satisfies Lipschitz condition on an open convex subset of a Banach space. As corollaries, a recent theorem of Argyros (2003) and the classical convergence theorem for modified ...
V. Antony Vijesh, P. V. Subrahmanyam
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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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Evaluation of estimation methods for parameters of the probability functions in tree diameter distribution modeling [PDF]
Environmental Resources Research, 2020 One of the most commonly used statistical models for characterizing the variations of tree diameter at breast height is Weibull distribution. The usual approach for estimating parameters of a statistical model is the maximum likelihood estimation ...
M. Teimouri +2 more
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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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FedDANE: A Federated Newton-Type Method [PDF]
2019 53rd Asilomar Conference on Signals, Systems, and Computers, 2019 Asilomar Conference on Signals, Systems, and Computers ...
Li, Tian +5 more
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Analysis of Accuracy of Interpolation Methods in Estimating the Output Factors for Square Fields in Medical Linear Accelerator [PDF]
Iranian Journal of Medical Physics, 2017 Introduction: To estimate the accuracy levels of Lagrange, Newton backward interpolation, and linear interpolation methods in estimating the output factors for square fields used in linear accelerator for 6 MV photons at various depths.
ATHIYAMAN MAYILVAGANAN +3 more
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Newton type iterative methods with higher order of convergence
Journal of Numerical Analysis and Approximation Theory, 2016 Newton type iterative methods are obtained with higher order of convergence and with higher efficiency. The methods have been compared with the similar existing methods of recent times.
Pankaj Jain +2 more
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