The duality theorem of linear programming is shown to be geometrically and algebraically intuitive when the vertex at which the optimal occurs is simple, i.e. the number of independent hyperplanes intersecting there is exactly the dimension of the space. The result is then extended to the general...
duality principle duality theorem Duality, Principle of dual-mode control dual-mode handset dual-mode seeker dual-pitched roof dual-purpose gun Dual-Purpose Reactor dual-rotation engine dual-rotor system dual-scanned liquid-crystal display dual-seal tubing joint ...
he found a dual for this problem. The authors generalize this result further by proving a duality theorem which includes as special cases a great variety of choices of norms in the terms of the Fermat-Weber sum. The theorem is proved by applying a general duality theorem of Rockafellar. As...
SeparationTheorem：分离定理 1 MSIS 685: Linear Programming Lecture 6 The Dual Simplex Method and Strong Duality Theorem 10/15/98 Scriber: Yu Xia Instructor: Farid Alizadeh The Dual Simplex method For some problems, there is advantage in solving the dual instead of the primal. For example...
All these results are derived from a “main duality theorem” which can be deduced from the duality theorem of linear programming or from more general results of convex analysis.Previous article in issue Next article in issue View PDFRéférences [1] C. Berge, A. Ghouila Houri Programmes, ...
“It draws on a very large set of sophisticated techniques developed in symbolic solving,” explained Bjørner. For example, SPACER exploits Farkas’ lemma solvability theorem for linear programming duality to bound search for spurious counter-examples. It converts search over a stack machi...
MSIS 685: Linear Programming Lecture 6 The Dual Simplex Method and Strong Duality Theorem 10/15/98 Scriber: Yu Xia Instructor: Farid Alizadeh The Dual Simplex method For some problems, there is advantage in solving the dual instead of the primal. For example, if the number of ...
We extend here the duality method developed in the articles Merluşcă [8,9], by the application of the Fenchel theorem to the obstacle problem. We discuss the general obstacle problem in Sect.2. We reduce the problem to the null obstacle case and we compute the solutions using the dual...
Appendix: Proofs of index properties In this appendix we present the proofs of some results postponed in the paper. Proof of Theorem 2.1 The direct proof is quite straightforward. Note that in (2.1) the value ofν(i,σ) for each stopping timeσis a ratio of sums over consecutive times...
In the framework of locally convex topological vector space,the scalarization theorem,Kuhn-Tucker conditions as well as the duality theorem and the saddle points theorem on Henig proper efficient solutions with respect to the base for vector optimization involving arcwise connected convex maps are estab...