On Groebner bases and their use in solving some practical problems

Mencinger, Matej

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Naslov:	On Groebner bases and their use in solving some practical problems
Avtorji:	ID Mencinger, Matej (Avtor)
Datoteke:	http://www.hrpub.org/download/201306/ujcmj.2013.010102.pdf
Jezik:	Angleški jezik
Vrsta gradiva:	Delo ni kategorizirano
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	FGPA - Fakulteta za gradbeništvo, prometno inženirstvo in arhitekturo
Opis:	Groebner basis are an important theoretical building block of modern (polynomial) ring theory. The origin of Groebner basis theory goes back to solving some theoretical problems concerning the ideals in polynomial rings, as well as solving polynomial systems of equations. In this article four practical applications of Groebner basis theory are considered; we use Groebner basis to solve the systems of nonlinear polynomial equations, to solve an integer programming problem, to solve the problem of chromatic number of a graph, and finally we consider an original example from the theory of systems of ordinary (polynomial) differential equations. For practical computations we use systems MATHEMATICA and SINGULAR .
Ključne besede:	polynomial system of (differential) equations, integer linear programming, chromatic number of a graph, polynomial rings, Groebner basis, CAS systems
Leto izida:	2013
Št. strani:	str. 5-14
Številčenje:	Vol. 1, no. 1
PID:	20.500.12556/DKUM-50457
UDK:	517.1
COBISS.SI-ID:	17085206
NUK URN:	URN:SI:UM:DK:IBYNFQVE
Datum objave v DKUM:	10.07.2015
Število ogledov:	1630
Število prenosov:	111
Metapodatki:
Področja:	Ostalo
:	MENCINGER, Matej, 2013, On Groebner bases and their use in solving some practical problems. [na spletu]. 2013. Vol. 1, no. 1, p. 5–14. [Dostopano 2 april 2025]. Pridobljeno s: http://www.hrpub.org/download/201306/ujcmj.2013.010102.pdf Kopiraj citat

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