论文标题
在Levenberg-Marquardt-Kaczmarz迭代方法上,用于求解非线性不良方程的系统
On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ill-posed equations
论文作者
论文摘要
在本文中,研究了一种修改后的Levenberg-Marquardt方法,再加上Kaczmarz策略,以获取不拟合操作员方程的非线性系统的稳定解决方案。我们表明所提出的方法是一种收敛的正则化方法。基于双极模型的非线性逆掺杂问题提供了数值测试。
In this article a modified Levenberg-Marquardt method coupled with a Kaczmarz strategy for obtaining stable solutions of nonlinear systems of ill-posed operator equations is investigated. We show that the proposed method is a convergent regularization method. Numerical tests are presented for a non-linear inverse doping problem based on a bipolar model.