## NCSOSTOOLS: A COMPUTER ALGEBRA SYSTEM FOR SYMBOLIC AND NUMERICAL COMPUTATION WITH NONCOMMUTATIVE POLYNOMIALS

Abstract. NCSOStools is a Matlab toolbox for – symbolic computation with polynomials in noncommuting variables; – constructing and solving sum of hermitian squares (with commutators) programs for polynomials in noncommuting 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 … Read more