Factorization of Multivariate Positive Laurent Polynomials

Details Factorization of Multivariate Positive Laurent Polynomials Factorization of Multivariate Positive Laurent Polynomials

2005-03-07

arxiv.org/abs/math/0503133v1

Mathematics

Classical Analysis and ODEs

Scientific paper

Recently Dritschel proves that any positive multivariate Laurent polynomial can be factorized into a sum of square magnitudes of polynomials. We first give another proof of the Dritschel theorem. Our proof is based on the univariate matrix Fejer-Riesz theorem. Then we discuss a computational method to find approximates of polynomial matrix factorization. Some numerical examples will be shown. Finally we discuss how to compute nonnegative Laurent polynomial factorizations in the multivariate setting.

Affiliated with

Also associated with

No associations

Rating

Factorization of Multivariate Positive Laurent Polynomials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Factorization of Multivariate Positive Laurent Polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Factorization of Multivariate Positive Laurent Polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-403540