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.
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)
关键词
非线性方程组
凸约束
投影L—M方法
non-linear equations
convex constraints
projected L-M method
