Slovenian Real Algebra Group


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Last change: 9 Jul 2012

Preprints

Jaka Cimprič

  • Real algebraic geometry for matrices over commutative rings, Arxiv , submitted
  • with Bill Helton, Scott McCullough, Christopher Nelson. A Non-commutative Real Nullstellensatz Corresponds to a Non-commutative Real Ideal; Algorithms, Arxiv , submitted
  • with Yurii Savchuk and Konrad Schmüdgen. On q-normal operators and quantum complex plane, Arxiv , submitted

Igor Klep

  • with SCHWEIGHOFER, Markus. An exact duality theory for semidefinite programming based on sums of squares. ( pdf ), latest revision 1 July 2012.
  • with BURGDORF, Sabine, CAFUTA, Kristijan, POVH, Janez. Algorithmic aspects of sums of hermitian squares of noncommutative polynomials. ( pdf ), latest revision 15 May 2012.
  • with BREŠAR, Matej. A local-global principle for linear dependence of noncommutative polynomials, accepted for publication in the Israel Journal of Mathematics. ( pdf ), latest revision 9 Mar 2011.
  • with HELTON, J. William, MCCULLOUGH, Scott. The matricial relaxation of a linear matrix inequality, accepted for publication in the Mathematical Programming. ( pdf ), latest revision 1 Jun 2011. Supplementary material (a zip file containing three Mathematica notebooks and their pdf versions) is available here.
  • with HELTON, J. William, MCCULLOUGH, Scott. Free convex algebraic geometry, "Semidefinite Optimization and Convex Algebraic Geometry" edited by G. Blekherman, P. Parrilo, R. Thomas, SIAM, 2012. ( pdf ), latest revision 26 Oct 2011.
  • with BURGDORF, Sabine. The truncated tracial moment problem, accepted for publication in Journal of Operator Theory. ( pdf ), latest revision 16 Jan 2010.
  • The real spectrum of a noncommutative ring and the Artin-Lang homomorphism theorem. ( pdf ), latest revision 28 Jan 2010.
  • with HELTON, J. William, MCCULLOUGH, Scott. Free analysis, convexity and LMI domains, "Mathematical methods in systems, optimization and control" (Operator Theory: Advances and Applications) edited by H. Dym, M. de Oliveira, M. Putinar, Birkhäuser, 2012. ( pdf ), latest revision 11 Dec 2011.
  • with BURGDORF, Sabine, CAFUTA, Kristijan, POVH, Janez. The tracial moment problem and trace-optimization of polynomials, accepted for publication in Mathematical Programming Journal ( pdf ), latest revision 29 Apr 2011.