### Graduate Student Seminar, 4:30pm November 11, 2002, Hayes-Healy
231

#### Speaker:

Guangyue Han
#### Title:

Minimizing Polynomial Functions
#### Abstract:

Several approaches can be taken to deal with minimization of gneral
polynomial functions. It is demonstrated that existing algebraic methods
(Grobner bases, resultants, homotopy continuation methods) are
dramatically outperformed by a newly proposed technique which involves
sums of squares and semidefinite programming. In this talk, I will review
the algebraic methods which consider the critical points of the given
target polynomial, then two semidefinite relaxation technique using sums
of sqrares will be presented.
To volunteer to give a talk, or for any other questions regarding this schedule, contact Wesley Calvert