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

Kodai Mathematical Journal

Van Doat Dang²  Thi Thao Nguyen¹ 

[1] Department of Mathematics Hanoi National University of Education;Thang Long High School for gifted

关键词: Positive polynomial;    sum of squares;    Newton polyhedron;    framework;    mediated set;    barycentric coordinates;    optimization;    geometric programming;   

DOI  :  10.2996/kmj/1467830136

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(24)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].

【 授权许可】

Unknown