| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4624987 | Advances in Applied Mathematics | 2012 | 34 Pages |
Abstract
In a recent paper (Cucker et al., 2008 [8]) we analyzed a numerical algorithm for computing the number of real zeros of a polynomial system. The analysis relied on a condition number κ(f) for the input system f. In this paper we look at κ(f) as a random variable derived from imposing a probability measure on the space of polynomial systems and give bounds for both the tail P{κ(f)>a} and the expected value .
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
