非线性最小二乘问题的修正拟牛顿法

摘要

A modified quasi - Newton method for nonlinear least squares problems is proposed. By using non - monotone line search technique and structured quasi - Newton method, we establish a modified quasi - Newton method for nonlinear least squares problems, and the global convergence of the algorithm is proved.%给出了求解非线性最小二乘的修正拟牛顿方法。该方法结合了非单调搜索技术和结构化拟牛顿法的思想，提出了一种新的求解非线性最小二乘的修正拟牛顿法，并证明了该方法的全局收敛性。