摘要
对带有不等式约束的光滑优化问题,当可行域非空且满足正独立条件时,通过选取适当的新的动边界,构造了新的同伦方程,证明了同伦方程解的存在性、有界性和收敛性,获得了优化问题的K-K-T点.
For the programming problems with inequalities constraints, we constructed a new homotopy equation by selecting a suitable new moving function, and proved the existence, boundedness, convergence, obtained the K-K-T point of the programming problems, when the feasible region is nonempty and the boundary of the feasible set satisfies positively linearly independent conditions.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2012年第5期892-896,共5页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:10771020)
吉林省自然科学基金(批准号:201215128
20101597)
关键词
同伦方法
伪锥条件
动约束
homotopy method
pseudo-normal cone conditions
moving constraints
