摘要
本文提供了预条件不精确牛顿型方法结合非单调技术解光滑的非线性方程组.在合理的条件下证明了算法的整体收敛性.进一步,基于预条件收敛的性质,获得了算法的局部收敛速率,并指出如何选择势序列保证预条件不精确牛顿型的算法局部超线性收敛速率.
This paper proposes preconditional inexact Newton-like methods in association with nonmonotone technique for solving smooth equations. Global convergences of the proposed algorithms are established under the reasonable conditions. Furthermore, this paper characterizes the order of local convergence based on convergence behaviour of precon-dioner and indicates how to choose a forcing sequence which preserves the rapid locally convergent rates of the preconditional inexact Newton-like methods.
出处
《运筹学学报》
CSCD
北大核心
2003年第3期10-20,共11页
Operations Research Transactions
基金
’The author gratefully acknowledges the partial supports of the Chinese National Science The author gratefully acknowledges the partial supports of the Chinese National Science Foundation Grant (10071050)
the Science Foundation Grant (02ZA14070)
Shang
