In mathematical optimization theory, duality or the duality principle is the principle that optimization problems may be viewed from either of two perspectives...

Strong duality is a condition in mathematical optimization in which the primal optimal objective and the dual optimal objective are equal. By definition...

formalization of mathematical duality Duality (optimization) Duality (order theory), a concept regarding binary relations Duality (projective geometry), general...

belong to a larger class of duality theorems in optimization. The strong duality theorem is one of the cases in which the duality gap (the gap between the...

Dual abelian variety Dual basis Dual (category theory) Dual code Duality (electrical engineering) Duality (optimization) Dualizing module Dualizing sheaf...

Convex optimization is a subfield of mathematical optimization that studies the problem of minimizing convex functions over convex sets (or, equivalently...

In applied mathematics, weak duality is a concept in optimization which states that the duality gap is always greater than or equal to 0. This means that...

principle (Boolean algebra) Duality principle for sets Duality principle (optimization theory) Lagrange duality Duality principle in functional analysis...

In optimization problems in applied mathematics, the duality gap is the difference between the primal and dual solutions. If d ∗ {\displaystyle d^{*}}...

Conic optimization is a subfield of convex optimization that studies problems consisting of minimizing a convex function over the intersection of an affine...