NCAlgebra: Our Non Commutative Algebra Packages run under Mathematica© and give it the capability of manipulating noncommuting algebraic expressions. NCGB Computes Non Commutative Groebner Bases and has extensive sorting and display features as well as algorithms for automatically discarding ”redundant” polynomials..

References in zbMATH (referenced in 45 articles )

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  1. Burgdorf, Sabine; Klep, Igor; Povh, Janez: Optimization of polynomials in non-commuting variables (2016)
  2. Casas, J.M.; Insua, M.A.; Ladra, M.; Ladra, S.: Test for Leibniz $n$-algebra structure (2016)
  3. Klep, Igor; Špenko, Špela: Sweeping words and the length of a generic vector subspace of $M_n(\mathbbF)$ (2016)
  4. Mazzocco, Marta: Confluences of the Painlevé equations, Cherednik algebras and q-Askey scheme (2016)
  5. Plestenjak, Bor; Hochstenbach, Michiel E.: Roots of bivariate polynomial systems via determinantal representations (2016)
  6. Brešar, Matej; Procesi, Claudio; Špenko, Špela: Quasi-identities on matrices and the Cayley-Hamilton polynomial. (2015)
  7. Cui, Shawn X.; Wang, Zhenghan: Framed cord algebra invariant of knots in $S^1 \times S^2$ (2015)
  8. Wittek, Peter: Algorithm 950: Ncpol2sdpa -- sparse semidefinite programming relaxations for polynomial optimization problems of noncommuting variables (2015)
  9. Agapito, José: On symmetric polynomials with only real zeros and nonnegative $\gamma$-vectors (2014)
  10. Cimprič, Jakob; Helton, J.William; Klep, Igor; McCullough, Scott; Nelson, Christopher: On real one-sided ideals in a free algebra (2014)
  11. Helton, J.William; Klep, Igor; Nelson, Christopher S.: Noncommutative polynomials nonnegative on a variety intersect a convex set (2014)
  12. Blekherman, Grigoriy (ed.); Parrilo, Pablo A. (ed.); Thomas, Rekha R. (ed.): Semidefinite optimization and convex algebraic geometry (2013)
  13. Brešar, Matej; Klep, Igor: A local-global principle for linear dependence of noncommutative polynomials. (2013)
  14. Burgdorf, Sabine; Cafuta, Kristijan; Klep, Igor; Povh, Janez: The tracial moment problem and trace-optimization of polynomials (2013)
  15. Cafuta, Kristijan; Klep, Igor; Povh, Janez: Constrained polynomial optimization problems with noncommuting variables (2012)
  16. de Oliveira, Maurício C.: Simplification of symbolic polynomials on non-commutative variables (2012)
  17. Greene, Jeremy M.: Noncommutative plurisubharmonic polynomials. II: Local assumptions (2012)
  18. Helton, J.William; Klep, Igor; Mccullough, Scott: Convexity and semidefinite programming in dimension-free matrix unknowns (2012)
  19. Helton, J.William; Klep, Igor; McCullough, Scott: The convex Positivstellensatz in a free algebra (2012)
  20. Kaliuzhnyi-Verbovetskyi, Dmitry S.; Vinnikov, Victor: Noncommutative rational functions, their difference-differential calculus and realizations (2012)

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