Add to ORKGSystems of polynomial equations often have symmetries. In solving such a system using Buchberger's algorithm, the symmetries are neglected. Incorporating symmetries into the solution process enables us to solve larger problems than with Buchberger's algorithm alone. This paper presents a method that shows how this can be achieved and also gives an algorithm that brings together continuously parameterized symmetries with Buchberger's algorithm
International audienceAssuming the variety of a polynomial set is invariant under a group action, we...
International audienceWe propose a method to solve some polynomial systems whose equations are invar...
AbstractThe classical reduction techniques of bifurcation theory, Liapunov–Schmidt reduction and cen...
AbstractSystems of polynomial equations often have symmetries. In solving such a system using Buchbe...
Systems of polynomial equations often have symmetries. In solving such a system using Buchberger's a...
Systems of polynomial equations often have symmetries. In solving such a system using Buchberger's a...
AbstractSystems of polynomial equations often have symmetries. In solving such a system using Buchbe...
Systems of polynomial equations often have symmetries. In solving such a system using Buchberger’s a...
AbstractWe propose a method to solve some polynomial systems whose equations are invariant by the ac...
AbstractOne way of solving polynomial systems of equations is by computing a Gröbner basis, setting ...
New algorithms for determining discrete and continuous symmetries of polynomials --- also known as b...
This paper will explore the use and construction of Gröbner bases through Buchberger\u27s algorithm....
AbstractWe propose a method to solve some polynomial systems whose equations are invariant by the ac...
The second volume of this comprehensive treatise focusses on Buchberger theory and its application t...
In this paper we study symmetries in polynomial equation systems and how they can be integrated into...
International audienceAssuming the variety of a polynomial set is invariant under a group action, we...
International audienceWe propose a method to solve some polynomial systems whose equations are invar...
AbstractThe classical reduction techniques of bifurcation theory, Liapunov–Schmidt reduction and cen...
AbstractSystems of polynomial equations often have symmetries. In solving such a system using Buchbe...
Systems of polynomial equations often have symmetries. In solving such a system using Buchberger's a...
Systems of polynomial equations often have symmetries. In solving such a system using Buchberger's a...
AbstractSystems of polynomial equations often have symmetries. In solving such a system using Buchbe...
Systems of polynomial equations often have symmetries. In solving such a system using Buchberger’s a...
AbstractWe propose a method to solve some polynomial systems whose equations are invariant by the ac...
AbstractOne way of solving polynomial systems of equations is by computing a Gröbner basis, setting ...
New algorithms for determining discrete and continuous symmetries of polynomials --- also known as b...
This paper will explore the use and construction of Gröbner bases through Buchberger\u27s algorithm....
AbstractWe propose a method to solve some polynomial systems whose equations are invariant by the ac...
The second volume of this comprehensive treatise focusses on Buchberger theory and its application t...
In this paper we study symmetries in polynomial equation systems and how they can be integrated into...
International audienceAssuming the variety of a polynomial set is invariant under a group action, we...
International audienceWe propose a method to solve some polynomial systems whose equations are invar...
AbstractThe classical reduction techniques of bifurcation theory, Liapunov–Schmidt reduction and cen...