Constrained trace-optimization of polynomials in freely noncommuting variables

The study of matrix inequalities in a dimension-free setting is in the realm of free real algebraic geometry. In this paper we investigate constrained trace and eigenvalue optimization of noncommutative polynomials. We present Lasserre’s relaxation scheme for trace optimization based on semidefinite...

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Veröffentlicht in:	Journal of global optimization 2016-02, Vol.64 (2), p.325-348
Hauptverfasser:	Klep, Igor, Povh, Janez
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Computer Science Constraints Control theory Convergence Eigenvalues Flatness Geometry Mathematical analysis Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Polynomials Randomization Real Functions Semidefinite programming Studies
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