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Linear Programming Duality: An Introduction to Oriented Matroids (Universitext)

Achim Bachem, Walter Kern




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 | #5753402 in Books |  2013-10-04 | Original language:English | PDF # 1 |  9.25 x.51 x6.10l,.72 | File type: PDF | 218 pages

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The main theorem of Linear Programming Duality, relating a "pri mal" Linear Programming problem to its "dual" and vice versa, can be seen as a statement about sign patterns of vectors in complemen tary subspaces of Rn. This observation, first made by R.T. Rockafellar in the late six ties, led to the introduction of certain systems of sign vectors, called "oriented matroids." Indeed, when oriented matroids came into being in the early seventies, one of the main issues was...

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