Multi-Standard Quadratic Optimization Problems

A Standard Quadratic Optimization Problem (StQP) consists of maximizing a (possibly indefinite) quadratic form over the standard simplex. Likewise, in a multi-StQP we have to maximize a (possibly indefinite) quadratic form over the cartesian product of several standard simplices (of possibly different dimensions). Two converging monotone interior point methods are established. Further, we prove an exact cone programming reformulation for establishing rigid yet affordable bounds and finding improving directions.


Technical Report TR-ISDS {\bf 2007-12}, University of Vienna (2007)



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