Abstract
In this article we show that, under suitable conditions a quadratic functional attains its minimum on a closed convex cone (in a finite dimensional real Hilbert space) whenever it is bounded below on the cone. As an application, we solve Generalised Linear Complementarity Problems over closed convex cones.
Publisher
Cambridge University Press (CUP)
Cited by
3 articles.
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1. On reduced convex QP formulations of monotone LCPs;Mathematical Programming;2001-05
2. A Constrained Procrustes Problem;SIAM Journal on Matrix Analysis and Applications;1997-01
3. Generalized linear complementarity problems;Mathematical Programming;1990-01