This paper considers fluid analogues for the standard linear programming problem and for a separable nonlinear programming problem. In the former case the usual duality results are demonstrated using ...

This paper, which is presented in two parts, is a contribution to the theory of fractional programming, i.e. maximization of quotients subject to constraints. In Part I a duality theory for linear and ...

"Using our previous results, we demonstrated that the duality operators can be realized as unitary linear-depth quantum circuits when supplementing the Hilbert space with ancillary degrees of ...

Perold, André, and R. Meidan. "Optimality Conditions and Strong Duality in Abstract and Continuous Time Linear Programming." Journal of Optimization Theory and Applications 40, no. 1 (May 1983): 61–76 ...

Duality operators in symmetric 1D quantum lattice models can be implemented as unitary quantum circuits with linear depth by extending the Hilbert space with ancillary degrees of freedom and ...