Kodai Mathematical Journal

Sufficient conditions for a real polynomial to be a sum of squares of polynomials

Van Doat Dang and Thi Thao Nguyen

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In this paper, we establish new sufficient conditions for the polynomial f to be SOS in terms of the Newton polyhedron of f (Theorems 2.6 and 2.12). These new sufficient conditions include results which were proved earlier by Lasserre [13, Theorem 3], Fidalgo and Kovacec [6, Theorem 4.3], Ghasemi and Marshall [7, Theorems 2.1 and 2.3], and Ghasemi and Marshall [8, Theorem 2.3].

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Kodai Math. J., Volume 39, Number 2 (2016), 253-275.

First available in Project Euclid: 6 July 2016

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Dang, Van Doat; Nguyen, Thi Thao. Sufficient conditions for a real polynomial to be a sum of squares of polynomials. Kodai Math. J. 39 (2016), no. 2, 253--275. doi:10.2996/kmj/1467830136. https://projecteuclid.org/euclid.kmj/1467830136

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