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An Adaptive Multi-step Levenberg–Marquardt Method

Journal of Scientific Computing, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fan, Jinyan   +2 more
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A smoothing Levenberg–Marquardt method for NCP

Applied Mathematics and Computation, 2006
Nonlinear complementarity problems (NCPs) are converted to an equivalent system of smooth nonlinear equations by using a smoothing technique. Then a Levenberg-Marquardt type method is used to solve the system of nonlinear equations. The method has the following merits: (i) any cluster point of the iteration sequence is a solution of the \(P_{0}\)-NCP; (
Zhang, Ju-Liang, Zhang, Xiangsun
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Levenberg-Marquardt method for ANFIS learning

Proceedings of North American Fuzzy Information Processing, 2002
Presents the results of applying the Levenberg-Marquardt method (K. Levenberg, 1944, and D.W. Marquardt, 1963), which is a popular nonlinear least-squares method, to the ANFIS (Adaptive Neuro-Fuzzy Inference System) architecture proposed by Jang (IEEE Trans. on Systems, Man and Cybernctics, vol. 23, no. 3, pp 665-685, May 1993).
null Jyh-Shing Roger Jang, E. Mizutani
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Levenberg–Marquardt method for unconstrained optimization

Tambov University Reports. Series: Natural and Technical Sciences, 2019
We propose and study the Levenberg–Marquardt method globalized by means of linesearch for unconstrained optimization problems with possibly nonisolated solutions. It is well-recognized that this method is an efficient tool for solving systems of nonlinear equations, especially in the presence of singular and even nonisolated solutions.
Alexey Izmailov   +2 more
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A Levenberg–Marquardt method based on Sobolev gradients

Nonlinear Analysis: Theory, Methods & Applications, 2012
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Kazemi, Parimah, Renka, Robert J.
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A Levenberg-Marquardt method with approximate projections

Computational Optimization and Applications, 2013
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Behling, R.   +4 more
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Convergence analysis of the Levenberg–Marquardt method

Optimization Methods and Software, 2007
The Levenberg-Marquardt method is a popular method for both optimization problems and equilibrium problems in dynamical systems. In this article, we study the convergence properties of the Levenberg-Marquardt method with the standard matrix update scheme.
Xin-Long Luo, Li-Zhi Liao, Hon Wah Tam
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Global Complexity Bound of the Inexact Levenberg–Marquardt Method

Journal of the Operations Research Society of China, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Jian-Chao, Fan, Jin-Yan
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On the inexactness level of robust Levenberg–Marquardt methods

Optimization, 2010
Recently, the Levenberg–Marquardt (LM) method has been used for solving systems of nonlinear equations with nonisolated solutions. Under certain conditions it converges Q-quadratically to a solution. The same rate has been obtained for inexact versions of the LM method.
Fischer, A., Shukla, P. K., Wang, M.
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Some research on Levenberg–Marquardt method for the nonlinear equations

Applied Mathematics and Computation, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, Changfeng, Jiang, Lihua
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