摘要
针对一类非线性约束极大极小问题,利用极大熵方法将其转化为带等式、不等式约束的非线性规划问题,给出了一种梯度投影算法,解决了一般约束的非线性大系统优化问题,该算法初始点可任意;同时证明了该算法的全局收敛性。初步的数值试验表明,对于该类极大极小问题,算法有良好的数值表现。
In this paper, a gradient projection algorithm using maxim-entropy methods is analyzed and a class of max-min problems with nonlinear constraints are changed into nonlinear programming problems with inequality and equality constra. The algorithm which resolves general max-min problems is global convergent. Preliminary numerical experiments show that the proposed algorithm is effective.
出处
《电子科技大学学报》
EI
CAS
CSCD
北大核心
2001年第3期316-319,共4页
Journal of University of Electronic Science and Technology of China
关键词
极大极小问题
非线性约束
非线性规划
max-min problem
gradient projection
maxi-entropy
convergence