长春大学学报(自然科学版)Issue(8):969-972,4.
L-M方法的收敛性分析
An Analysis on the Convergence of L-M Method
摘要
Abstract
L-M method is one of the most important methods for solving nonlinear equations.This paper gives an iterative method with the new parameterλk=‖Fk‖+‖J Tk Fk‖ of L-M method for singular nonlinear equations.It proves x*∈X* of iterative sequence second-order convergence equations generated by L-M method in condition of local error bound which is weaker than nonsingularity.The numerical results show that the method is effective.关键词
非线性方程组/局部误差界/L-M方法Key words
nonlinear equations/local error bound/L-M method分类
数理科学引用本文复制引用
房明磊,蒋利华..L-M方法的收敛性分析[J].长春大学学报(自然科学版),2013,(8):969-972,4.基金项目
国家自然科学基金项目(11061011) (11061011)