Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9498534 | Linear Algebra and its Applications | 2005 | 15 Pages |
Abstract
Kollar's sharp effective Nullstellensatz, which is independent of the number of polynomials, is shown to be a generically pessimistic bound. A generic effective Nullstellensatz is proven. The generic bound is approximately inversely proportional to the number of polynomials; further, the bound is linear, rather than exponential, in the degrees of the polynomials. The generic effective Nullstellensatz provides for minimum required equalization filter orders in signal and image processing.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ravikiran Rajagopal, Lee C. Potter,