Note: This content is accessible to all versions of every browser. However, this browser does not seem to support current Web standards, preventing the display of our site's design details.

  

Characterizing and computing the Real Radical - An SDP Approach

Author(s):

Ph. Rostalski
Conference/Journal:

Control Group, University of Cambridge, Control Group Seminar 2007
Abstract:

Systems of polynomials play an important role in a variety of applications. Often one is interested in the real points satisfying these equations only. In this talk I will discuss a method (joined work with M. Laurent and J.-B. Lasserre) for computing all points on a zero-dimensional semi-algebraic set described by polynomial equalities and inequalities. Moreover we aim for some "nice" polynomial generators for the vanishing ideal, i.e. for the set of all polynomials vanishing on these points. In contrast to exact computational algebraic methods, the method we propose uses numerical linear algebra and semidefinite optimization to compute approximate solutions to the problem at hand. The main advantage of the proposed method is the real-algebraic nature of the algorithm preventing the need to deal with complex solution components.

Year:

2007
Type of Publication:

(06)Talk
Supervisor:



No Files for download available.
% No recipe for automatically generating a BibTex entry for (06)Talk
Permanent link