[Turkmath:2025] Gebze Teknik Üniversitesi Matematik Bölümü Genel Seminerleri

Işıl Öner ioner at gtu.edu.tr
Mon Mar 6 08:28:04 UTC 2017


Sayin Liste Uyeleri,

Gebze Teknik Üniversitesi (GTU) Matematik Bölümü Genel Seminerleri kapsamında,
10 Mart Cuma günü saat 14:00'da Zafeirakis Zafeirakopoulos (Gebze Teknik Üniversitesi) bir seminer  verecektir. Seminerin detayları Aşağıda olup tüm ilgilenenler davetlidir.


Dear all,

There will be a seminar in Gebze Technical University (GTU) on 10th of
March by Zafeirakis Zafeirakopoulos  (GTU).
Time  and  place:  At 14:00 in Department of Mathematics, Building I, Seminar room.

Title: Polyhedral Omega: Solving Linear Diophantine Systems

Abstract: Polyhedral Omega is a new algorithm for solving linear Diophantine systems (LDS), i.e., for computing a multivariate rational function representation of the set of all non-negative integer solutions to a system of linear equations and inequalities. Polyhedral Omega combines methods from partition analysis with methods from polyhedral geometry. In particular, we combine MacMahon’s iterative approach based on the Omega operator and explicit formulas for its evaluation with geometric tools such as Brion decomposition and Barvinok’s short rational function representations. This synthesis of ideas makes Polyhedral Omega by far the simplest algorithm for solving linear Diophantine systems available to date.

Saygılarımızla.
Düzenleme Komitesi Adına
Dr. Işıl Öner



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