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» A multivariate interlace polynomial
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CORR
2010
Springer
179views Education» more  CORR 2010»
13 years 5 months ago
The DMM bound: multivariate (aggregate) separation bounds
In this paper we derive aggregate separation bounds, named after Davenport-MahlerMignotte (DMM), on the isolated roots of polynomial systems, specifically on the minimum distance ...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...
CORR
2010
Springer
163views Education» more  CORR 2010»
13 years 4 months ago
NP-hardness of Deciding Convexity of Quartic Polynomials and Related Problems
We show that unless P=NP, there exists no polynomial time (or even pseudo-polynomial time) algorithm that can decide whether a multivariate polynomial of degree four (or higher ev...
Amir Ali Ahmadi, Alexander Olshevsky, Pablo A. Par...
JSC
2010
103views more  JSC 2010»
13 years 6 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
JAT
2006
73views more  JAT 2006»
13 years 7 months ago
Factorization of multivariate positive Laurent polynomials
Abstract. Recently M. Dritschel proved that any positive multivariate Laurent polynomial can be factorized into a sum of square magnitudes of polynomials. We first give another pro...
Jeffrey S. Geronimo, Ming-Jun Lai