Project: Algorithms for Matricial Polynomials

Master data
Algorithms for Matricial Polynomials
Description: Viele Probleme basierend auf Linearen Systemen oder der Kontrolltheorie haben Matrizen als Variablen, was zu Polynomen nicht-kommutativer Variablen führt. Ziel dieses Projektes ist die Anwendung der Semidefiniten Optimierung auf die Klasse der nicht-kommutativen Variablen.
Keywords: Nicht-kommutative Variable, Semidefinite Optimierung
Algorithms for Matricial Polynomials
Description: The goal of this project is to advance the theory of optimization in dimension-free noncommutative (nc) variables. (Unlike to the classical semialgebraic geometry where real polynomial rings in commuting variables are the objects of study.) Many problems in linear systems and control theory, e.g. the textbook classics, have matrices as variables, and the formulas naturally contain nc polynomials in matrices (i.e., matricial polynomials). These polynomials depend only on the system layout and do not change with the size of the matrices involved, hence such problems are called "dimension-free".
Keywords: Non-commutative variables, semidefinite programming
Short title: n.a.
Period: 01.01.2011 - 31.12.2012
Contact e-mail: -
Homepage: -

Employees
Employees Role Time period
Franz Rendl
Franz.Rendl@aau.at
Research activities
To visiting card
(internal)
  • Research staff
  • 01.01.2011 - 31.12.2012
Angelika Wiegele
angelika.wiegele@aau.at
Institut für Mathematik
Research activities
To visiting card
(internal)
  • Project leader
  • Applicant
  • 01.01.2011 - 31.12.2012
  • 01.01.2011 - 31.12.2012
Philipp Hungerländer
Philipp.Hungerlaender@aau.at
Research activities
To visiting card
(internal)
  • Research staff
  • 01.01.2011 - 31.12.2012

Assignment
Organisational unit
Fakultät für Technische Wissenschaften
  Institut für Mathematik
Universitätsstraße 65-67
9020 Klagenfurt am Wörthersee
Austria
   math@aau.at
https://www.aau.at/mathematik
To organisation

Categorisation
Project type Research funding (on request / by call for proposals)
Funding type §27
Research type
  • Applied research
  • Fundamental research
Subject areas
  • 1121 - Operations research *
  • 1102 - Algebra *
  • 1104 - Applied mathematics *
  • 1115 - Technical mathematics *
Research Cluster No research Research Cluster selected
Gender aspects 0%
Project focus
  • Science to Science (Quality indicator: n.a.)
Classification raster of the assigned organisational units:
working groups No working group selected

Funding
Funding program
Österreichischer Austauschdienst GmbH (OeAD)
Organisation: Österreichischer Austauschdienst GmbH (OeAD)

Cooperations
Organisation Address
University Ljubljana, Institute of Mathematics, Physics and Mechanics
Universität Ljubljana, Institute of Mathematics, Physics and Mechanics
1000 Ljubljana
Slovenia
Universität Ljubljana, Institute of Mathematics, Physics and Mechanics
SI - 1000  Ljubljana