5 search results - page 1 / 1 » Bounds on absolute positiveness of multivariate polynomials |
JSC
2010
13 years 3 months ago
2010
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 ...
CORR
2010
Springer
13 years 2 months ago
2010
Springer
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 ...
JSC
2010
13 years 3 months ago
2010
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...
SIAMMAX
2011
13 years 11 days ago
2011
Abstract. This paper concerns the computation of the coefficients ck of the characteristic polynomial of a real or complex matrix A. We analyze the forward error in the coefficient...
JC
2008
13 years 5 months ago
2008
We study multivariate approximation for continuous functions in the average case setting. The space of d variate continuous functions is equipped with the zero mean Gaussian measu...