In this paper, we study convergence properties of the inexact Levenberg-Marquardt method under the Hölderian local error bound condition and the Hölderian continuity of the Jacobian. The formula of the convergence rates are given, which are functions with respect to the Levenberg-Marquardt parameter, the perturbation vector, as well as the orders of the Hölderian local error bound and Hölderian continuity of the Jacobian.

中文翻译：

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Hölderian局部误差约束下不精确Levenberg-Marquardt方法的收敛性

在本文中，我们研究了不精确的Levenberg-Marquardt方法在Hölderian局部误差约束条件和Jacobian的Hölderian连续性下的收敛性质。给出了收敛速度的公式，该公式是关于Levenberg-Marquardt参数，扰动向量以及Hölderian局部误差界和Jacobian的Hölderian连续性的阶数的函数。