A computational comparison of symmetry handling methods for mixed integer programs

ME Pfetsch, T Rehn - Mathematical Programming Computation, 2019‏ - Springer
The handling of symmetries in mixed integer programs in order to speed up the solution
process of branch-and-cut solvers has recently received significant attention, both in theory …

[کتاب][B] Handbook of geometric constraint systems principles

M Sitharam, AS John, J Sidman - 2018‏ - taylorfrancis.com
The Handbook of Geometric Constraint Systems Principles is an entry point to the currently
used principal mathematical and computational tools and techniques of the geometric …

[HTML][HTML] Polytope symmetries of Feynman integrals

L de la Cruz - Physics Letters B, 2024‏ - Elsevier
Feynman integrals appropriately generalized are A-hypergeometric functions. Among the
properties of A-hypergeometric functions are symmetries associated with the Newton …

Symmetric linear model predictive control

C Danielson, F Borrelli - IEEE Transactions on Automatic …, 2014‏ - ieeexplore.ieee.org
This paper studies symmetry in linear model predictive control (MPC). We define symmetry
for model predictive control laws and for model predictive control problems. Properties of …

A canonical form for positive definite matrices

M Dutour Sikirić, A Haensch, J Voight… - Open Book Series, 2020‏ - msp.org
We exhibit an explicit, deterministic algorithm for finding a canonical form for a positive
definite matrix under unimodular integral transformations. We use characteristic sets of short …

The complete classification of five-dimensional Dirichlet–Voronoi polyhedra of translational lattices

M Dutour Sikirić, A Garber, A Schürmann… - Foundations of …, 2016‏ - journals.iucr.org
This paper reports on the full classification of Dirichlet–Voronoi polyhedra and Delaunay
subdivisions of five-dimensional translational lattices. A complete list is obtained of 110 244 …

Enumeration of the facets of cut polytopes over some highly symmetric graphs

M Deza, M Dutour Sikirić - International transactions in …, 2016‏ - Wiley Online Library
We report here a computation giving the complete list of facets for the cut polytopes over
several very symmetric graphs with 15–30 edges, including K8, K3, 3, 3, K1, 4, 4, K5, 5 …

[کتاب][B] Generalizations of finite metrics and cuts

M Deza, MD Sikiric, E Deza - 2016‏ - books.google.com
This book introduces oriented version of metrics and cuts and their multidimensional
analogues, as well as partial metrics and weighted metrics. It is a follow-up of Geometry of …

On the cohomology of linear groups over imaginary quadratic fields

MD Sikirić, H Gangl, PE Gunnells, J Hanke… - Journal of pure and …, 2016‏ - Elsevier
Let Γ be the group GL N (OD), where OD is the ring of integers in the imaginary quadratic
field with discriminant D< 0. In this paper we investigate the cohomology of Γ for N= 3, 4 and …

Reduction methods in semidefinite and conic optimization

FN Permenter - 2017‏ - dspace.mit.edu
Conic optimization, or cone programming, is a subfield of convex optimization that includes
linear, second-order cone, and semidefinite programming as special cases. While conic …