levmar
levmar : Levenberg-Marquardt nonlinear least squares algorithms in C/C++ This site provides GPL native ANSI C implementations of the Levenberg-Marquardt optimization algorithm, usable also from C++, Matlab, Perl, Python, Haskell and Tcl and explains their use. Both unconstrained and constrained (under linear equations, inequality and box constraints) Levenberg-Marquardt variants are included. The Levenberg-Marquardt (LM) algorithm is an iterative technique that finds a local minimum of a function that is expressed as the sum of squares of nonlinear functions. It has become a standard technique for nonlinear least-squares problems and can be thought of as a combination of steepest descent and the Gauss-Newton method. When the current solution is far from the correct one, the algorithm behaves like a steepest descent method: slow, but guaranteed to converge. When the current solution is close to the correct solution, it becomes a Gauss-Newton method.
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References in zbMATH (referenced in 35 articles )
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- Tian, Boshi; Hu, Yaohua; Yang, Xiaoqi: A box-constrained differentiable penalty method for nonlinear complementarity problems (2015)
- Behling, R.; Fischer, A.; Herrich, M.; Iusem, A.; Ye, Y.: A Levenberg-Marquardt method with approximate projections (2014)
- Behling, Roger; Iusem, Alfredo: The effect of calmness on the solution set of systems of nonlinear equations (2013)
- Behling, Roger; Fischer, Andreas: A unified local convergence analysis of inexact constrained Levenberg-Marquardt methods (2012)
- Shen, Chungen; Chen, Xiongda; Liang, Yumei: A regularized Newton method for degenerate unconstrained optimization problems (2012)
- Ueda, Kenji; Yamashita, Nobuo: Global complexity bound analysis of the Levenberg-Marquardt method for nonsmooth equations and its application to the nonlinear complementarity problem (2012)
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- Du, Shou-Qiang; Gao, Yan: Convergence analysis of nonmonotone Levenberg-Marquardt algorithms for complementarity problem (2010)
- Fischer, A.; Shukla, P.K.; Wang, M.: On the inexactness level of robust Levenberg-Marquardt methods (2010)
- Ma, Fengming; Wang, Chuanwei: Modified projection method for solving a system of monotone equations with convex constraints (2010)