Current Location:home > Detailed Browse

# An efficient m-step Levenberg-Marquardt method for nonlinear equations

Submit Time: 2016-07-11
Author:
Institute: 1.Huaibei Normal University;

## Abstracts

 In this paper, we construct and analyze an efficient m-step Levenberg-Marquardt method for nonlinear equations. The main advantage of this method is that the m-step LM method could save more Jacobian calculations with frozen $(J_k^TJ_k+\lambda_kI)^{-1}J_k^T$ at every iteration. Under the local error bound condition which is weaker than nonsingularity, the m-step LM method has been proved to have $(m+1)$th convergence order. The global convergence has also been given by trust region technique. Numerical results show that the m-step LM method is efficient and could save many calculations of the Jacobian especially for large scale problems.
From: 陈亮
DOI：doi:10.1137/0721054.
Recommended references： Chen, Liang,Ma, Yanfang,Su, Chencheng.(2016).An efficient m-step Levenberg-Marquardt method for nonlinear equations.doi:doi:10.1137/0721054. (Click&Copy)
Version History
Related Paper