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Numerous applied problems contain matrices as variables, and the formulas therefore involve polynomials in matrices. To handle such polynomials it is necessary study non-commutative polynomials. In this paper we will… Click to show full abstract
Numerous applied problems contain matrices as variables, and the formulas therefore involve polynomials in matrices. To handle such polynomials it is necessary study non-commutative polynomials. In this paper we will present an algorithm and its implementation in the free Matlab package NCSOStools using semidefinite programming to check whether a given non-commutative polynomial in non-symmetric variables can be written as a sum of Hermitian squares.
Keywords:
non symmetric;
sums hermitian;
hermitian squares;
commutative polynomials;
non commutative;
symmetric variables
Journal Title: Central European Journal of Operations Research
Year Published: 2019
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Journal Title: Central European Journal of Operations Research
Year Published: 2019
Link to full text (if available)
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recommendations!