CONVERGENCE RATE OF THE ACCELERATED MODIFIED LEVENBERG-MARQUARDT METHOD UNDER HIOLDERIAN LOCAL ERROR BOUND

摘要

In this paper, we study the convergence properties of the accelerated modified Levenberg-Marquardt (LM) method presented in [Mathematics of Computation, 83 (2014), 1173-1187] under the conditions of the Holderian local error bound condition and the Holderian continuity of the Jacobian, which are more general than the local error bound condition and the Lipschitz continuity of the Jacobian.