A new efficient algorithm for computing Gröbner bases without reduction to zero (F5)

2002 ◽  
Author(s):  
Jean Charles Faugère
Keyword(s):  
Efficient Algorithm ◽  
Gröbner Bases ◽  
Grobner Bases

MXL3: An Efficient Algorithm for Computing Gröbner Bases of Zero-Dimensional Ideals

2010 ◽  
pp. 87-100 ◽  
Author(s):  
Mohamed Saied Emam Mohamed ◽  
Daniel Cabarcas ◽  
Jintai Ding ◽  
Johannes Buchmann ◽  
Stanislav Bulygin
Keyword(s):  
Efficient Algorithm ◽  
Gröbner Bases ◽  
Grobner Bases

USING GRÖBNER BASES FOR FACTORING POLYNOMIALS OVER ALGEBRAIC EXTENSION FIELDS

2012 ◽  
Vol 11 (01) ◽  
pp. 1250003
Author(s):  
AMIR HASHEMI ◽  
BENYAMIN M.-ALIZADEH
Keyword(s):  
Efficient Algorithm ◽  
Gröbner Bases ◽  
Grobner Bases ◽  
Algebraic Extension ◽  
Univariate Polynomial ◽  
Factoring Polynomials

In this paper, we present a simple and efficient algorithm for factoring an arbitrary univariate polynomial over algebraic extension fields, using Gröbner bases. We have implemented our algorithm in MAPLE and we evaluate its performance via some examples.

scholarly journals Gröbner bases for operads

2010 ◽  
Vol 153 (2) ◽  
pp. 363-396 ◽  
Author(s):  
Vladimir Dotsenko ◽  
Anton Khoroshkin
Keyword(s):  
Gröbner Bases ◽  
Grobner Bases
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