NCSOStools: a computer algebra system for symbolic and numerical computation with noncommutative polynomials

K Cafuta, I Klep, J Povh - Optimization methods and Software, 2011 - Taylor & Francis
K Cafuta, I Klep, J Povh
Optimization methods and Software, 2011Taylor & Francis
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 …
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.
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