摘要
本文给出了求解非线性互补问题近似Newton法二阶收敛性的一个条件，并且证明了在一定的条件下，有限差分Newton法具有二阶收敛性．
in this paper, we propose a sufficient condition under which the approximateNewton's methods possess quadratic convergence property when they are applied to solvingnonlinear complementarity problems. Particular attention is paid to the finite difference Newton's method. We show that when the step length is suitably chosen, the finite differenceNewton's method converges quadratically.
出处
《系统科学与数学》
CSCD
北大核心
1997年第2期103-109,共7页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金
关键词
非线性互补问题
收敛性
牛顿法
近似牛顿法
Nonlinear complementarity problems, approximate Newton's methods,quadratic convergence.
