Download

Latest release available for download:

• • NCSOStools-v1.8a.zip (release date 14 Mar 2018)

Old versions:

• • NCSOStools-v1.7.zip (release date 28 Jul 2015)

  • NCSOStools-v1.5d2.zip (release date 30 Nov 2014)

  • NCSOStools-v1.2c.zip (release date 27 Sep 2010)

  • NCSOStools-v1.1c.zip (release date 16 Dec 2009)

  • NCSOStools.zip (first release, release date 11 Mar 2009)

References

• • • Book

      • S. Burgdorf, I. Klep, J. Povh: Optimization of polynomials in non-commuting variables, SpringerBriefs in Mathematics, Springer-Verlag (2016)

    • Articles

      • K. Cafuta, I. Klep, J. Povh: Constrained polynomial optimization problems with noncommuting variables, SIAM Journal on Optimization, 2012, vol. 22, no. 2, pp. 363-383.

      • S. Burgdorf, K. Cafuta, I. Klep, J. Povh: The tracial moment problem and trace-optimization of polynomials, Mathematical Programming, 2013, vol. 137, iss. 1-2, pp. 557-578.

      • K. Cafuta: Sums of Hermitian squares decomposition of non-commutative polynomials in non-symmetric variables using NCSOStools, Central European Journal of Operations Research, 2018.

      • I. Klep, J. Povh: Constrained trace-optimization of polynomials in freely noncommuting variables, Journal of Global Optimization, 2016, vol 64, pp. 325-348.

      • K. Cafuta, I. Klep, J. Povh: Rational sums of hermitian squares of free noncommutative polynomials, Ars Mathematica Contemporanea, 2015, vol. 9, iss. 2, pp. 253–269.

      • S. Burgdorf, K. Cafuta, I. Klep, J. Povh: Algorithmic aspects of sums of hermitian squares of noncommutative polynomials, Computational Optimization and Applications, 2013, vol. 55, iss. 1, pp. 137-153.

      • K. Cafuta, I. Klep, J. Povh: NCSOStools: a computer algebra system for symbolic and numerical computation with noncommutative polynomials, Optimization Methods and Software, 2011, vol. 26, iss. 3, pp. 363-380.

      • K. Cafuta, I. Klep, J. Povh: A note on the nonexistence of sum of squares certificates for the BMV conjecture, Journal of Mathematical Physics, 2010, vol. 51, no. 8, 083521.

      • instructions.txt, bmv168_data_27_10_09.mat, bmv_16_8-ldlt.nb

      • I. Klep, J. Povh: Semidefinite programming and sums of hermitian squares of noncommutative polynomials, Journal of Pure and Applied Algebra, 2010, vol. 214, pp. 740-749.

• This version of NCSOStools is distributed under the GNU General Public License 3.0.

• This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.