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- W2057445306 abstract "Abstract NCSOStools is a Matlab toolbox for •symbolic computation with polynomials in noncommuting (NC) variables;•constructing and solving sum of Hermitian squares (with commutators) programs for polynomials in NC variables. It can be used in combination with semidefinite programming software, such as SeDuMi, SDPA or SDPT3, to solve these constructed programs. This paper provides an overview of the theoretical underpinning of the sum of Hermitian squares (with commutators) programs and provides a gentle introduction to the primary features of NCSOStools. Keywords: noncommutative polynomialsum of Hermitian squarescommutatorsemidefinite programmingMatlab toolbox 2000 Mathematics Subject Classification : Primary90C2213J30Secondary11E2508B2090C90 Acknowledgements The authors thank both anonymous referees for helpful suggestions. Sabine Burgdorf provided valuable feedback on the software. Igor Klep Partially supported by the Slovenian Research Agency (project no. Z1-9570-0101-06). Janez Povh Supported by the Slovenian Research Agency (project no. 1000-08-210518)." @default.
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- W2057445306 date "2011-06-01" @default.
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- W2057445306 title "NCSOStools: a computer algebra system for symbolic and numerical computation with noncommutative polynomials" @default.
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- W2057445306 doi "https://doi.org/10.1080/10556788.2010.544312" @default.
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