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Duality via halfspaces

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Abstract

This note shows that half spaces play a very special role in the development of duality. In addition to the minimum norm duality, the duality in linear programming, and Wolfe's and Johri's formulations in nonlinear programming can all be derived via half spaces by following an identical five step procedure.

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Johri, P.K. Duality via halfspaces. ZOR - Mathematical Methods of Operations Research 39, 85–92 (1994). https://doi.org/10.1007/BF01440736

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  • DOI: https://doi.org/10.1007/BF01440736

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