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Modified Levenberg Marquardt Algorithm for Inverse Problems
2010The Levenberg Marquardt (LM) algorithm is a popular nonlinear least squares optimization technique for solving data matching problems. In this method, the damping parameter plays a vital role in determining the convergence of the system. This damping parameter is calculated arbitrarily in the classical LM, causing it to converge prematurely when used ...
Muthu Naveen +3 more
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Levenberg-Marquardt method for ANFIS learning
Proceedings of North American Fuzzy Information Processing, 2002Presents 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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On the Rate of Convergence of the Levenberg-Marquardt Method
2001We consider a rate of convergence of the Levenberg-Marquardt method (LMM) for solving a system of nonlinear equations F(x) = 0, where F is a mapping from Rn into Rm. It is well-known that LMM has a quadratic rate of convergence when m = n, the Jacobian matrix of F is nonsingular at a solution x and an initial point is chosen sufficiently close to x. In
N. Yamashita, M. Fukushima
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A higher-order Levenberg–Marquardt method for nonlinear equations
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the convergence properties of the Levenberg–Marquardt method
Optimization, 2003In this article, a new method is presented to update the parameter in the Levenberg–Marquardt Method (LMM) for solving nonlinear equation system, i.e., (namely, there exist positive constants c 2 > 0, c 3 > 0 such that ). The existing methods in [H. Dan, N. Yamashita and M. Fukushima (2001).
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On Speeding up the Levenberg-Marquardt Learning Algorithm
2023Jaroslaw Bilski +2 more
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A Shamanskii-like self-adaptive Levenberg–Marquardt method for nonlinear equations
Computers and Mathematics With Applications, 2019Haohua Huang, Chang-Feng
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