Nonnegative Polynomial with no Certificate of Nonnegativity in the Simplicial Bernstein Basis
نویسنده
چکیده
This paper presents a nonnegative polynomial that cannot be represented with nonnegative coefficients in the simplicial Bernstein basis by subdividing the standard simplex. The example shows that Bernstein Theorem cannot be extended to certificates of nonnegativity for polynomials with zeros at isolated points.
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عنوان ژورنال:
- CoRR
دوره abs/1710.05735 شماره
صفحات -
تاریخ انتشار 2017