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Convergence properties of the inexact Levenberg-Marquardt method under local error bound conditions. (English) Zbl 1030.65049
The authors prove that the inexact Levenberg-Marquardt method (ILMM) for solving nonlinear equations has a superlinear rate of convergence under a local error bound assumption. Moreover, they prove that the ILMM combined with Armijo’s stepsize rule has global convergence. Numerical results are reported for a number of test problems where some solutions are not locally unique solutions but local error bounds are provided in the solution neighborhoods.

65H10 Numerical computation of solutions to systems of equations
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