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JSC
2010
103views more  JSC 2010»
13 years 10 months ago
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 ...
Prashant Batra, Vikram Sharma
JSC
2010
99views more  JSC 2010»
13 years 10 months ago
Faster algorithms for computing Hong's bound on absolute positiveness
We show how to compute Hong’s bound for the absolute positiveness of a polynomial in d variables with maximum degree δ in O(n logd n) time, where n is the number of non-zero co...
Kurt Mehlhorn, Saurabh Ray