Title

Existence of Positive Definite Noncoercive Sums of Squares

Author(s)/Creator(s)

Gregory C. Verchota, Syracuse UniversityFollow

Document Type

Article

Date

12-13-2007

Disciplines

Mathematics

Description/Abstract

Positive definite forms

f 2 R[x₁, . . . , x_n] which are sums of squares of forms of R[x₁, . . . , x_n] are constructed to have the additional property that the members of any collection of forms whose squares sum to f must share a nontrivial complex root in Cⁿ.

Additional Information

This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/0712.2167

Recommended Citation

Verchota, Gregory C., "Existence of Positive Definite Noncoercive Sums of Squares" (2007). Mathematics - All Scholarship. 136.
https://surface.syr.edu/mat/136

Source

Harvested from arXiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.