# Primal Problem

### Some articles on problem, primal problem, primal, problems:

Linear Programming - Duality
... Every linear programming problem, referred to as a primal problem, can be converted into a dual problem, which provides an upper bound to the optimal ... In matrix form, we can express the primal problem as Maximize cTx subject to Ax ≤ b, x ≥ 0 with the corresponding symmetric dual problem ... An alternative primal formulation is Maximize cTx subject to Ax ≤ b with the corresponding asymmetric dual problem, Minimize bTy subject to ATy = c, y ≥ 0 ...
Duality (optimization) - The Linear Case - Relationship Between The Primal Problem and The Dual Problem
... In the linear case, in the primal problem, from each sub-optimal point that satisfies all the constraints, there is a direction or subspace of directions to move that ... In the dual problem, the dual vector multiplies the constants that determine the positions of the constraints in the primal ... Varying the dual vector in the dual problem is equivalent to revising the upper bounds in the primal problem ...
Convex Analysis - Convex Minimization - Dual Problem
... In optimization theory, the duality principle states that optimization problems may be viewed from either of two perspectives, the primal problem or the ... Then given the function, we can define the primal problem as finding such that If there are constraint conditions, these can be built in to the function by letting where is the ... The dual problem with respect to the chosen perturbation function is given by where is the convex conjugate in both variables of ...

### Famous quotes containing the words problem and/or primal:

The writer operates at a peculiar crossroads where time and place and eternity somehow meet. His problem is to find that location.
Flannery O’Connor (1925–1964)

For poetry was all written before time was, and whenever we are so finely organized that we can penetrate into that region where the air is music, we hear those primal warblings, and attempt to write them down, but we lose ever and anon a word, a verse, and substitute something of our own, and thus miswrite the poem.
Ralph Waldo Emerson (1803–1882)