University of Georgia

Mathematics Department Colloquium

Tangan Gao

Michigan State University

February 26 1999

Solving Polynomial Systems by Homotopy Continuation Methods


Abstract: Solving polynomial systems is very common in many fields of science and engineering, such as robot kinematics, chemical reactions, economic modeling, neural network, computer vision, etc. During the last two decades, homotopy continuation methods have proven to be reliable and efficient to compute numerical approximations to all isolated zeros of polynomial systems. In this talk, we will introduce basic ideas of solving polynomial systems by homotopy continuation methods.