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The Cartographer
Real Stability Testing
October 02, 2016 Β· Declared Dead Β· π Information Technology Convergence and Services
"No code URL or promise found in abstract"
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Authors
Prasad Raghavendra, Nick Ryder, Nikhil Srivastava
arXiv ID
1610.00209
Category
cs.DS: Data Structures & Algorithms
Citations
6
Venue
Information Technology Convergence and Services
Last Checked
4 months ago
Abstract
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.
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