SYNAPS: A LIBRARY FOR DEDICATED APPLICATIONS IN SYMBOLIC NUMERIC COMPUTING (2009)
Bernard Mourrain, Jean-pascal Pavone, Philippe Trebuchet, Elias P. Tsigaridas, Julien Wintz
Abstract. We present an overview of the open source library synaps. We describe some of the representative algorithms of the library and illustrate them on some explicit computations, such as solving...
Subdivision methods for solving polynomial equations (2009)
Mourrain, Bernard, Pavone, Jean-Pascal
This paper presents a new algorithm for solving a system of polynomials, in a domain of $ ^n$. It can be seen as an improvement of the Interval Projected Polyhedron algorithm proposed by Sherbrooke...
Subdivision methods for solving polynomial equations (2009)
Mourrain, Bernard, Pavone, Jean-Pascal
This paper presents a new algorithm for solving a system of polynomials, in a domain of $ ^n$. It can be seen as an improvement of the Interval Projected Polyhedron algorithm proposed by Sherbrooke...
Subdivision Methods for the Topology of 2d and 3d Implicit Curves (2007)
Liang, Chen, Mourrain, Bernard, Pavone, Jean-Pascal
In this paper, we describe a subdivision method for handling algebraic implicit curves in 2d and 3d. We use the representation of polynomials in the Bernstein basis associated with a given box, to...
Subdivision Methods for the Topology of 2d and 3d Implicit Curves (2007)
Liang, Chen, Mourrain, Bernard, Pavone, Jean-Pascal
In this paper, we describe a subdivision method for handling algebraic implicit curves in 2d and 3d. We use the representation of polynomials in the Bernstein basis associated with a given box, to...
SYNAPS: A library for dedicated applications in symbolic numeric computing, (2007)
Mourrain, Bernard, Pavone, Jean-Pascal, Trebuchet, Philippe, Tsigaridas, Elias P., Wintz, Julien
We present an overview of the open source library synaps. We describe some of the representative algorithms of the library and illustrate them on some explicit computations, such as solving...
SYNAPS: A library for dedicated applications in symbolic numeric computing, (2007)
Mourrain, Bernard, Pavone, Jean-Pascal, Trebuchet, Philippe, Tsigaridas, Elias P., Wintz, Julien
We present an overview of the open source library synaps. We describe some of the representative algorithms of the library and illustrate them on some explicit computations, such as solving...
Subdivision methods for solving polynomial equations (2005)
Mourrain, Bernard, Pavone, Jean-Pascal
This paper presents a new algorithm for solving a system of polynomials, in a domain of $ ^n$. It can be seen as an improvement of the Interval Projected Polyhedron algorithm proposed by Sherbrooke...