### Janez Povh (School of Advanced Social Studies in Nova Gorica, Finland)

#### Sum of hermitian squares decompositions of non-commutative polynomials

*Wednesday 17 September 2014 at 15.00, JCMB 6206*

##### Abstract

I will present problems related to the positivity of real polynomials in
non-commutative variables and describe solution approaches using semidefinite
programming. I will also discuss (constrained) eigenvalue and trace
optimization of non-commutative polynomials and give a demonstration of the
Matlab software package NCsostools on a few examples.

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