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Algorithmic aspects of sums of Hermitian squares of noncommutative polynomialsBurgdorf, Sabine ...This paper presents an algorithm and its implementation in the software package NCSOStools for finding sums of Hermitian squares and commutators decompositions for polynomials in noncommuting ... variables. The algorithm is based on noncommutative analogs of the classical Gram matrix method and the Newton polytope method, which allows us to use semidefinite programming. Throughout the paper several examples are given illustrating the results.Source: Computational optimization and applications. - ISSN 0926-6003 (Vol. 55, iss. 1, 2013, str. 137-153)Type of material - article, component part ; adult, seriousPublish date - 2013Language - englishCOBISS.SI-ID - 2048184851
Author
Burgdorf, Sabine |
Cafuta, Kristijan, 1977- |
Klep, Igor, matematik |
Povh, Janez, 1973-
Topics
vsote kvadratov |
nekomutativni polinomi |
semidefinitno programiranje |
Matlab |
Newtonov politop |
prosta pozitivnost |
sum of squares |
semidefinite programming |
noncommutative polynomial |
Matlab toolbox |
Newton polytope |
Free positivity
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Database name | Field | Year |
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Burgdorf, Sabine | |
Cafuta, Kristijan, 1977- | 28255 |
Klep, Igor, matematik | 22353 |
Povh, Janez, 1973- | 22649 |
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