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《Acta Analysis Functionalis Applicata》 2009-01
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The Geometry Property of the Primal-Dual Objective Function Level Sets on Conic Optimization in Reflexive Banach Spaces

WANG Yan1, SONG Wen2 1. Department of Mathematics, Qiqihar University, Qiqihar 161006, China 2. School of Mathematical Sciences, Harbin Normal University, Harbin 150080, China  
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.
【Fund】: 国家自然科学基金(10671050);; 黑龙江省杰出青年基金项目(JC200707)
【CateGory Index】: O177
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