Abstract-we give a set-theoretic description of the set of optimal solutions to a general positive semi-definite quadratic programming problem over an affine set. We also show that the solution space is again an &ne set, thus offering the opportunity to find an optimal solution by solving a corresponding operator equation. Keywords-solution description, Quadratic programming, Positive semi-definite, Affine set. 1
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AbstractWe give a set-theoretic description of the set of optimal solutions to a general positive se...
We give a set-theoretic description of the set of optimal solutions to a general positive semi-defin...
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AbstractThis paper develops a sufficient condition for continuity (as opposed to upper semicontinuit...
AbstractIn this paper, we develop two discretization algorithms with a cutting plane scheme for solv...
In semidefinite programming one minimizes a linear function subject to the constraint that an affine...
AbstractWe give a set-theoretic description of the set of optimal solutions to a general positive se...
We give a set-theoretic description of the set of optimal solutions to a general positive semi-defin...
Because of the many important applications of quadratic programming, fast and efficient methods for ...
In this paper, we develop a discretisation algorithm with an adaptive scheme for solving a class of ...
The problem of determining whether quadratic programming models possess either unique or multiple op...
In this paper, we develop a discretisation algorithm with an adaptive scheme for solving a class of ...
We consider a general doubly-infinite, positive-definite, quadratic programming problem. We show tha...
AbstractBy using the theory of parametric semi-infinite programming, we show that the solution of a ...
textabstractIn this chapter we describe the optimal set approach for sensitivity analysis for LP. We...
A definition of a special class of optimization problems with set functions is given. The existence ...
In this short paper, we present a new constraint qualification (CQ) for linear semi-infinite program...
AbstractSemi-definite programs are convex optimization problems arising in a wide variety of applica...
AbstractThis paper develops a sufficient condition for continuity (as opposed to upper semicontinuit...
AbstractIn this paper, we develop two discretization algorithms with a cutting plane scheme for solv...
In semidefinite programming one minimizes a linear function subject to the constraint that an affine...