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 affine set, thus offering the opportunity to find an optimal solution by solving a corresponding operator equation.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/31452/1/0000373.pd
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Abstract In this paper we consider optimization problems dened by a quadratic objective function an...
In this paper, we develop a discretisation algorithm with an adaptive scheme for solving a class of ...
AbstractWe give a set-theoretic description of the set of optimal solutions to a general positive se...
Abstract-we give a set-theoretic description of the set of optimal solutions to a general positive s...
We consider a general doubly-infinite, positive-definite, quadratic programming problem. We show tha...
We consider an optimization problem in a convex space E with an affine objective function, subject t...
In this paper we consider optimization problems defined by a quadraticobjective function and a finit...
AbstractWe consider a Hilbert space, an orthogonal projection onto a closed subspace and a sequence ...
The problem of determining whether quadratic programming models possess either unique or multiple op...
In this paper, we consider the Abadie and the Basic constraint qualifications (CQ) for lower level ...
AbstractThis paper develops a sufficient condition for continuity (as opposed to upper semicontinuit...
We consider linear optimization over a nonempty convex semi-algebraic feasible region F. Semidefinit...
AbstractWe provide a sufficient condition which guarantees the lower-semicontinuity of the optimal s...
Because of the many important applications of quadratic programming, fast and efficient methods for ...
AbstractSemi-definite programs are convex optimization problems arising in a wide variety of applica...
Abstract In this paper we consider optimization problems dened by a quadratic objective function an...
In this paper, we develop a discretisation algorithm with an adaptive scheme for solving a class of ...