福建师范大学学报（自然科学版）2013，Vol.29Issue(4)：15-22,8.
求解非线性方程组的一个修正非单调L-M算法
A Modified Nonmonotone L-M Method for Solving Nonlinear System of Equations
摘要
Abstract
By using a new nonmontone line search,proposing a modified L-M method to solve nonlinear systems of equation.The algorithm performs a nonmonotone line search to find a new iteration point if a trial step is not accepted.Global and local convergence of this new method are proved under mild conditions.Some numerical results are reported,which shows that the algorithm is quite effective.关键词
非线性方程组/L-M方法/信赖域方法/非单调线搜索技术/全局和局部二次收敛性Key words
nonlinear system of equations/ L-M method / trust-region method / nonmonotone line search/ global and local convergence分类
数理科学引用本文复制引用
何叶丹,马昌凤..求解非线性方程组的一个修正非单调L-M算法[J].福建师范大学学报（自然科学版）,2013,29(4):15-22,8.基金项目
国家自然科学基金资助项目(11071041) （11071041）
