Results 201 to 210 of about 4,487,147 (242)

Infinite Dimensional Mathematical Programming

Profiles in Operations Research, 2010
In this chapter we are concerned with the generalization of finite-dimensional mathematical programming to infinite-dimensional vector spaces. This topic is pertinent to dynamic optimization because dynamic optimization in continuous time de facto occurs in infinite-dimensional spaces since the variable x (t), even if x is a scalar, has an infinity of ...
Terry Friesz
exaly   +4 more sources

Two-valued measures on a semialgebra of sets and some applications to infinite-dimensional mathematical programming problems

Cybernetics, 1989
Summary: The paper examines the structure of two-valued measures on a semialgebra of sets, investigates their representation in terms of ultrafilters of the given semialgebra, and also considers some applications of these measures as idealizing objects for extremal problems and, in particular, for mathematical programming (MP) problems.
A G Chentsov
exaly   +5 more sources

A simple constraint qualification in infinite dimensional programming

Mathematical Programming, 1986
J. Borwein, Henry Wolkowicz
exaly   +2 more sources

First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems

Mathematical Programming, 1979
H. Maurer, J. Zowe
exaly   +2 more sources

Mathematical Programming with Data Perturbations II

, 2020
Discretization and mesh-independent of Newton's method for generalized differentiability of optimal solutions in non-linear parametric optimization characterisations of Lipschitzian stability in nonlinear programming on second order sufficient conditions
A. Fiacco
semanticscholar   +1 more source

An interior point algorithm for semi-infinite linear programming

Mathematical Programming, 1989
Andy Philpott
exaly   +2 more sources

Optimal control in infinite-dimensional spaces and economic modeling: State of the art and perspectives

Mathematical Models and Methods in Applied Sciences
This survey collects, within a unified framework, various results (primarily by the authors themselves) on the use of Deterministic Infinite-Dimensional Optimal Control Theory to address applied economic models.
Giorgio Fabbri, S. Faggian, Salvatore Federico, Fausto Gozzi   +3 more
semanticscholar   +1 more source

Strong duality and sensitivity analysis in semi-infinite linear programming

Mathematical programming, 2015
Finite-dimensional linear programs satisfy strong duality (SD) and have the “dual pricing” (DP) property. The DP property ensures that, given a sufficiently small perturbation of the right-hand-side vector, there exists a dual solution that correctly ...
A. Basu, Kipp Martin, C. Ryan
semanticscholar   +1 more source

On the duality gap and Gale's example in infinite-dimensional conic linear programming

Journal of Mathematical Analysis and Applications, 2022
C. Zălinescu
semanticscholar   +1 more source

On sufficiency and duality theorems for nonsmooth semi-infinite mathematical programming problem with equilibrium constraints

Journal of Applied Mathematics and Computation, 2021
S. Tran, Hang Dieu Dinh
semanticscholar   +1 more source