摘要
讨论自反Banach空间中的原——对偶锥线性优化问题的目标函数水平集的几何性质.在自反Banach空间中,证明了原目标函数水平集的最大模与对偶目标函数水平集的最大内切球半径几乎是成反比例的.
We present a geometric relationship between the primal objective function level sets and the dual objective function level sets, for conic linear optimization. In reflexive Banach spaces, we prove that the maximum norms of the primal objective function level sets are nearly inversely proportional to the maximum inscribed radii of the dual objective function level sets.
出处
《应用泛函分析学报》
CSCD
2009年第1期33-38,共6页
Acta Analysis Functionalis Applicata
基金
国家自然科学基金(10671050)
黑龙江省杰出青年基金项目(JC200707)
