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Linear Programming Duality: An Introduction to Oriented Matroids

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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 to study the fun- damental principles underlying ...

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Linear Programming Duality: An Introduction to Oriented Matroids
1992, Springer, Berlin, Heidelberg

ISBN-13: 9783540554172

1992 edition

Trade paperback

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