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searching for Strong duality 10 found (24 total)

Dual linear program (3,450 words) [view diff] exact match in snippet view article find links to article

property holds for the optimal values of the dual and primal LPs. The strong duality theorem states that, moreover, if the primal has an optimal solution

Menger's theorem (1,598 words) [view diff] exact match in snippet view article find links to article

weighted, edge version, and which in turn is a special case of the strong duality theorem for linear programs. The edge-connectivity version of Menger's

Opposite category (592 words) [view diff] exact match in snippet view article find links to article

where x*y ≔ y·x for all x,y in S. So also for semigroups there is a strong duality principle. Clearly, the same construction works for groups, as well

Conic optimization (455 words) [view diff] exact match in snippet view article find links to article

{\displaystyle C\ } . Whilst weak duality holds in conic linear programming, strong duality does not necessarily hold. The dual of a semidefinite program in inequality

Karush–Kuhn–Tucker conditions (3,948 words) [view diff] exact match in snippet view article find links to article

together they satisfy the KKT conditions, then the problem pair has strong duality, and x ∗ , ( μ ∗ , λ ∗ ) {\displaystyle x^{*},(\mu ^{*},\lambda ^{*})}

Farkas' lemma (2,986 words) [view diff] exact match in snippet view article find links to article

with y ≥ 0. Common applications of Farkas' lemma include proving the strong duality theorem associated with linear programming and the Karush–Kuhn–Tucker

Wasserstein metric (5,169 words) [view diff] exact match in snippet view article find links to article

the maximum in the second problem. That is, the problem pair exhibits strong duality. For the general case, the dual problem is found by converting sums

Max-flow min-cut theorem (3,428 words) [view diff] exact match in snippet view article find links to article

function. The equality in the max-flow min-cut theorem follows from the strong duality theorem in linear programming, which states that if the primal program

Montonen–Olive duality (3,285 words) [view diff] exact match in snippet view article find links to article

its strongest a self-justification for any unprovable theory. Or weak–strong duality, both terms are correct. The term S-duality began being used in the

Trumpet (novel) (3,159 words) [view diff] exact match in snippet view article

this novel shows a sharp contrast to other dominant themes. Amidst a strong duality of themes (notably male and female, Black and white) jazz on the other