不精确高斯法的局部收敛性质

Local convergence analysis of inexact Gauss-Newton methods

分析了非线性最小二乘高斯牛顿法的局部收敛性质.运用Hlder连续性质,在简单的仿射不变条件下保证不精确高斯牛顿法的局部收敛性,得到收敛速率和收敛半径,同时还得到不精确高斯牛顿法的1+p阶收敛.不精确高斯牛顿法用较弱的条件代替牛顿法较强的条件,并运用Matlab进行运算,得到较理想的结果.

Analyzes the nonlinear least squares problems of the local convergence of Ganss-Newton methods, convergence rate and the corresponding radius of convergence. Inexact Ganss-Newton methods require weaker conditions instead of stronger conditions for Newton methods, and the computations by Matlab show ideal Results.