### Peter J. C. Dickinson (University of Groningen, The Netherlands)

#### On a set-semidefinite representation of quadratic optimisation problems

*Joint work with Janez Povh (Faculty of Information Studies in Novo Mesto) and Gabriele Eichfelder (Ilmenau University of Technology).*

*Wednesday 24 July 2013 at 16.15, JCMB 5215*

##### Abstract

In this talk we will look at optimisation problems with a quadratic objective
function and constraints involving: linear constraints, binary constraints and
set constraints. We shall show that, provided some commonly used assumptions
hold, these problems can be reformulated as conic optimisation problems over a
cone of set-semidefinite matrices. This generalises a well-known completely
positive representation result from Burer [Mathematical Programming, 2009].
This also corrects a previous result from Eichfelder and Povh [Optimization
Letters, 2012].

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