TY - JOUR A1 - Weber, Tobias A1 - Sager, Sebastian A1 - Gleixner, Ambros T1 - Solving Quadratic Programs to High Precision using Scaled Iterative Refinement T2 - Mathematical Programming Computation N2 - Quadratic optimization problems (QPs) are ubiquitous, and solution algorithms have matured to a reliable technology. However, the precision of solutions is usually limited due to the underlying floating-point operations. This may cause inconveniences when solutions are used for rigorous reasoning. We contribute on three levels to overcome this issue. First, we present a novel refinement algorithm to solve QPs to arbitrary precision. It iteratively solves refined QPs, assuming a floating-point QP solver oracle. We prove linear convergence of residuals and primal errors. Second, we provide an efficient implementation, based on SoPlex and qpOASES that is publicly available in source code. Third, we give precise reference solutions for the Maros and Mészáros benchmark library. Y1 - 2019 UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/6814 VL - 11 SP - 421 EP - 455 PB - Springer Berlin Heidelberg ER -