This note presents new complexity results for the comprehensive Gr\"ob\-ner bases (CGB) algorithm in the special case of one main variable and two polynomials, a general remark about CGB for parameterized binomial ideals, and it introduces the concept of comprehensive SAGBI bases together with a first application in invariant theory
AbstractGröbner bases are distinguished sets of generators of ideals in polynomial rings. They can b...
AbstractOur aim in this paper is to improve on the algorithms for the computation of SAGBI and SAGBI...
International audienceThis paper introduces a new algorithm for computing SAGBI-Gr\"obner bases for...
This note presents new complexity results for the comprehensive Gr\"ob\-ner bases (CGB) algorithm in...
This note presents new complexity results for the comprehensive Gr\"ob\-ner bases (CGB) algorithm i...
AbstractIn 1992, V. Weispfenning proved the existence of Comprehensive Gröbner Bases (CGB) and gave ...
AbstractComprehensive Gröbner bases for parametric polynomial ideals were introduced, constructed, a...
Gröbner basis is a particular kind of a generating set of an ideal in the polynomial ring S = K[x1, ...
AbstractWe give an alternative definition of comprehensive Gröbner bases in terms of Gröbner bases i...
The thesis consists of an introduction and the following four papers: Paper I: Using resultants for ...
In this dissertation we study several improvements to algorithms used to generate comprehensive Groe...
A basis for an ideal is such that every element in the ideal can be expressed as a linear combinatio...
Gröbner bases are special sets of polynomials, which are useful to solve problems in many fields suc...
International audienceWe study the complexity of Gr¨obner bases computation, in particular in the ge...
The idea of the Gröbner basis first appeared in a 1927 paper by F. S. Macaulay, who succeeded in cre...
AbstractGröbner bases are distinguished sets of generators of ideals in polynomial rings. They can b...
AbstractOur aim in this paper is to improve on the algorithms for the computation of SAGBI and SAGBI...
International audienceThis paper introduces a new algorithm for computing SAGBI-Gr\"obner bases for...
This note presents new complexity results for the comprehensive Gr\"ob\-ner bases (CGB) algorithm in...
This note presents new complexity results for the comprehensive Gr\"ob\-ner bases (CGB) algorithm i...
AbstractIn 1992, V. Weispfenning proved the existence of Comprehensive Gröbner Bases (CGB) and gave ...
AbstractComprehensive Gröbner bases for parametric polynomial ideals were introduced, constructed, a...
Gröbner basis is a particular kind of a generating set of an ideal in the polynomial ring S = K[x1, ...
AbstractWe give an alternative definition of comprehensive Gröbner bases in terms of Gröbner bases i...
The thesis consists of an introduction and the following four papers: Paper I: Using resultants for ...
In this dissertation we study several improvements to algorithms used to generate comprehensive Groe...
A basis for an ideal is such that every element in the ideal can be expressed as a linear combinatio...
Gröbner bases are special sets of polynomials, which are useful to solve problems in many fields suc...
International audienceWe study the complexity of Gr¨obner bases computation, in particular in the ge...
The idea of the Gröbner basis first appeared in a 1927 paper by F. S. Macaulay, who succeeded in cre...
AbstractGröbner bases are distinguished sets of generators of ideals in polynomial rings. They can b...
AbstractOur aim in this paper is to improve on the algorithms for the computation of SAGBI and SAGBI...
International audienceThis paper introduces a new algorithm for computing SAGBI-Gr\"obner bases for...