Positive definite forms
f 2 R[x1, . . . , xn] which are sums of squares of forms of R[x1, . . . , xn] 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.
Verchota, Gregory C., "Existence of Positive Definite Noncoercive Sums of Squares" (2007). Mathematics - Faculty Scholarship. 136.
Harvested from arXiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.