Uniform LP duality for semidefinite and semi-infinite programming

Qinghong Zhang ()

Central European Journal of Operations Research, 2008, vol. 16, issue 2, 205-213

Abstract: Recently, a semidefinite and semi-infinite linear programming problem (SDSIP), its dual (DSDSIP), and uniform LP duality between (SDSIP) and (DSDSIP) were proposed and studied by Li et al. (Optimization 52:507–528, 2003). In this paper, we show that (SDSIP) is an ordinary linear semi-infinite program and, therefore, all the existing results regarding duality and uniform LP duality for linear semi-infinite programs can be applied to (SDSIP). By this approach, the main results of Li et al. (Optimization 52:507–528, 2003) can be obtained easily. Copyright Springer-Verlag 2008

Keywords: Duality; Perfect duality; Uniform LP duality; Semidefinite program; Semi-infinite program (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10100-007-0048-5

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