Overview of Numerical Algebraic Geometry

Abstract:

An important emerging trend in computer algebra during recent years concerns the development of hybrid symbolic-numeric algorithms to solve problems with approximate (or empirical) input coefficients. Homotopy continuation methods lead to robust solvers of polynomials systems that are used in the tools of numerical algebraic geometry. While these tools can be viewed as hybrid symbolic-numeric algorithms, answers to problems of symbolic-numeric computing also stimulate the development of numerical algebraic geometry.

Applications of Computer Algebra (ACA'07) Oakland University, Rochester, MI, 19-22 July 2007.

slides of the talk