Mathematics and Statistics Faculty Scholarship
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Browsing Mathematics and Statistics Faculty Scholarship by Author "Kruk, Serge"
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Item Combinatorial Algorithm for Quadratic Programs with Laplacian Structure(Utilitas Mathematica, 2016) Kruk, Serge; Nierman, Ryan; Shi, PeterAn algorithm is presented that uses a mostly combinatorial approach to solve a family of convex quadratic programs over box constraints. It is proved that for convex programs with the required structure, the algorithm converges in a finite number of iterations. Moreover, each iteration requires, at most, one function evaluation. On synthetic problems with thousands of variables, our implementation determines the optimal solution in seconds.Item Rational points in the moduli space of genus two(Contemporary Mathematics, 2018) Shaska, Tony; Beshaj, Lubjana; Hidalgo, Ruben; Kruk, Serge; Malmendier, Andreas; Quispe, SaulWe build a database of genus 2 curves defined over the field of rationals.