First presenter Co-presenter(s)
Name :  Changbo Chen * Name:  Marc Moreno Maza *
E-mail: E-mail:  
Affiliation: University of Western Ontario Name:  Becan Xia
Department:   E-mail:    
City: London Name:  Lu Yang
State/Province:   E-mail:    
Country: Canada Name:   
Talk
Number:		 04-03  E-mail:    
Session: 4- Elimination Theory and Applications Schedule:
 
Room:		 Sunday, 8:30
 
B-2620
Related website:  
Title of
presentation:		 Computing Cylindrical Algebraic Decomposition via Triangular Decomposition
Abstract:

Cylindrical algebraic decomposition is one of the most important tools for computing with semi-algebraic sets, while triangular decomposition is among the most important approaches for manipulating constructible sets. In this paper, for an arbitrary finite set F of polynomials with N variables with real coffecients, we apply comprehensive triangular decomposition in order to obtain an F-invariant cylindrical decomposition of the n-dimensional complex space, from which we extract an F-invariant cylindrical algebraic decomposition of the n-dimensional real space.

This new approach for constructing cylindrical algebraic decompositions has been implemented in the RegularChains library in Maple. We shall demonstrate its usage together with the other tools of this library for solving polynomial systems arising in real life problems.