Applied Algebra Seminar: Bivariate Real Stability Testing

Seminar | February 2 | 5:15-6:15 p.m. | 891 Evans Hall

 Nicholas Ryder, University of California, Berkeley

 Department of Mathematics

We give a strongly polynomial time algorithm which determines whether or not a bivariate polynomial is real stable. As a corollary, this implies an algorithm for testing whether a given linear transformation on univariate polynomials preserves real-rootedness. The proof exploits properties of hyperbolic polynomials to reduce real stability testing to testing nonnegativity of a finite number of polynomials on an interval.