Sums of squares in Macaulay2

Published 13 Dec 2018 in math.OC and math.AC | (1812.05475v2)

Abstract: The Macaulay2 package SumsOfSquares decomposes polynomials as sums of squares. It is based on methods to rationalize sum-of-squares decompositions due to Parrilo and Peyrl. The package features a data type for sums-of-squares polynomials, support for external semidefinite programming solvers, and optimization over varieties.

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