Sufficient Conditions for a Real Polynomial to Be a Sum of Squares

نویسنده

  • JEAN B. LASSERRE
چکیده

We provide explicit sufficient conditions for a polynomial f to be a sum of squares (s.o.s.), linear in the coefficients of f . All conditions are simple and provide an explicit description of a convex polyhedral subcone of the cone of s.o.s. polynomials of degree at most 2d. We also provide a simple condition to ensure that f is s.o.s., possibly after adding a constant.

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تاریخ انتشار 2007