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Algorithms in real algebraic geometry

Reel cebirsel geometride algoritmalar
Authors: Akyar, Alaattin;

Algorithms in real algebraic geometry

Abstract

Bu çalışmada Gröbner tabanlarının ve Homogeneous tabanlarının özellikleriverilmiştir. Bu bağlamda, polinom denklem sistemlerini çözmek için farklı yöntemlerverdik ve hangi tekniğin daha etkili olduğuna karar vermeye çalıştık.Anahtar Kelimeler: Polinom idealleri, Çok değişkenli polinomlar, Gröbner tabanları,Homogeneous tabanları, Polinon denklem sistemler.

In this work, properties of Gröbner bases and Homogeneous bases are given.In this context, we give explicit calculations for solving polynomial equation and tryto decide which thechnique is the most efficient one.Keywords: Polynomials ideals, Multivariate polynomials, Gröbner bases, Homogeneousbases, systems of polynomial equations.

104

Keywords

Matematik, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average