凸约束非线性方程组投影L-M算法的收敛速度  

The Convergence of the Non-monotone Projected L-M Method for Convex Constrained Non-linear Equations

作　　者：郭楠[1] 陈卫忠[2] 

机构地区：[1]南京工程学院基础部,江苏南京211167 [2]苏州市职业大学基础部,江苏苏州215104

出　　处：《苏州市职业大学学报》2008年第2期100-102,共3页Journal of Suzhou Vocational University

基　　金：江苏省自然科学基金重点项目(BK2006725)

摘　　要：提出了一种非单调投影L-M方法求解凸约束非线性方程组,证明了在弱于非奇异条件的局部误差条件下,此算法具有局部二阶收敛速度。The paper presents a new class of non-monotone projected Levenberg-Marquardt method for convex constrained nonlinear equations. It is proved that if provided a local error bound, which is weaker than the condition of nonsingularity for the system of non-linear equations, the sequence generated by the new L-M method converges to a point of solution that is set quadratically.

关 键 词：非线性方程组 凸约束 投影L—M方法 

分 类 号：O211.2[理学—概率论与数理统计]