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- W2018290416 abstract "We study dimensions of the faces of the cone of nonnegative polynomials and the cone of sums of squares; we show that there are dimensional differences between corresponding faces of these cones. These dimensional gaps occur in all cases where there exist nonnegative polynomials that are not sums of squares. The gaps occur generically, they are not the product of selecting special faces of the cones. For ternary forms and quaternary quartics, we completely characterize when these differences are observed. Moreover, we provide an explicit description for these differences in the two smallest cases, in which the cone of nonnegative polynomials and the cone of sums of squares are different." @default.
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- W2018290416 date "2015-01-01" @default.
- W2018290416 modified "2023-09-26" @default.
- W2018290416 title "Dimensional Differences Between Faces of the Cones of Nonnegative Polynomials and Sums of Squares" @default.
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- W2018290416 doi "https://doi.org/10.1007/978-3-319-20155-9_14" @default.
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