most citedSymmetry groups, semidefinite programs, and sums of squares

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math.AC2002★ 366 cited

Symmetry groups, semidefinite programs, and sums of squares

Karin Gatermann, Pablo A. Parrilo

We investigate the representation of symmetric polynomials as a sum of squares. Since this task is solved using semidefinite programming tools we explore the geometric, algebraic,…