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.