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Physical Sciences and Engineering Mathematics Analysis

A note about the average number of real roots of a Bernstein polynomial system

Article ID Journal Published Year Pages File Type
4608794 Journal of Complexity 2009 4 Pages PDF
Abstract

We prove that the real roots of normal random homogeneous polynomial systems with n+1n+1 variables and given degrees are, in some sense, equidistributed in the projective space P(Rn+1)P(Rn+1). From this fact we compute the average number of real roots of normal random polynomial systems given in the Bernstein basis.

Keywords
Bernstein basis
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
A note about the average number of real roots of a Bernstein polynomial system
Authors
Diego Armentano, Jean-Pierre Dedieu,
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Journal
Journal of Complexity
Journal: Journal of Complexity
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