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A Macaulay 2 package for computing sum of squares decompositions of polynomials with rational coefficients

Published:25 July 2007Publication History

ABSTRACT

In recent years semideffinite programming (SDP) has become the standard technique for computing sum of squares (SOS) decompositions of nonnegative polynomials. Due to the nature of the underlying methods, the solutions are computed numerically, and thus are never exact. In this paper we present a software package for Macaulay 2, which aims at computing an exact SOS decomposition from a numerical solution.

References

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          cover image ACM Conferences
          SNC '07: Proceedings of the 2007 international workshop on Symbolic-numeric computation
          July 2007
          218 pages
          ISBN:9781595937445
          DOI:10.1145/1277500

          Copyright © 2007 ACM

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          Association for Computing Machinery

          New York, NY, United States

          Publication History

          • Published: 25 July 2007

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