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The global complexity bound of an iterative method for unconstrained minimization of f is an upper bound on the number of iterations required to get an approximate solution such that f(x) e, where e is a given positive constant.
The global complexity bound of an iterative method for nonlinear equations is an upper bound to the number of iterations required to get an approximate solution ...
Jul 21, 2010 · In this paper, we investigate a global complexity bound of the Levenberg-Marquardt method (LMM) for the nonlinear least squares problem.
Abstract. We investigate a global complexity bound of the Levenberg-Marquardt Method (LMM) for non- smooth equations F(x) = 0. The global complexity bound ...
Jul 17, 2024 · In this paper, we propose a derivative-free Levenberg-Marquardt algorithm for nonlinear least squares problems, where the Jacobian matrices are ...
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Dec 14, 2017 · In this paper, we investigate the global complexity bound for the inexact Levenberg–Marquardt method, where the Jacobian may be perturbed and the solution is ...
May 28, 2020 · We show that our proposed algorithm has a complexity bound that matches these results, up to a logarithmic factor. In this paper, we propose a ...
It is shown that the global complexity bound of the new LM algorithm is , that is, it requires at most iterations to derive the norm of the gradient of the ...
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In this paper, we propose a new updating rule of the Levenberg–Marquardt LM parameter for the LM method for nonlinear equations.
Jul 17, 2024 · Levenberg-Marquardt method, derivative ... The global complexity bound is an important factor to measure the efficiency of an algorithm.