# Sums of squares in Macaulay2

arXiv: https://arxiv.org/abs/1812.05475 · HTML: https://mlsanity.com/paper/1812.05475/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 13 Dec 2018.

## Built on by (most cited first, 1 of 1)

- [A computational approach to maximum likelihood thresholds for colored Gaussian graphical models](https://mlsanity.com/paper/2609.02382/) (2026)

## Abstract (arXiv)

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.