Bounds on absolute positiveness of multivariate polynomials

We propose a general framework for obtaining bounds on absolute positiveness of multivariate polynomials. We show that a known bound by Hong is a nearly optimal bound within this framework. We also derive quality results for any bound in this framework, and then propose a general approach to improve the quality of any such bound. Key words: Root bounds, multivariate polynomials, absolute positiveness.

• Type: Journal
• Year: 2010
• Where: JSC
• Authors: Prashant Batra, Vikram Sharma
• Keywords: Absolute Positiveness, JSC 2010, Multivariate Polynomials, Optimal Bound