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 |
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Franz Rendl (internal) |
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Angelika Wiegele (internal) |
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Philipp Hungerländer (internal) |
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Assignment
Organisational unit | ||||
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Fakultät für Technische Wissenschaften
Institut für Mathematik
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Categorisation
Project type | Research funding (on request / by call for proposals) |
Funding type | §27 |
Research type |
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Subject areas | |
Research Cluster | No research Research Cluster selected |
Gender aspects | 0% |
Project focus |
Classification raster of the assigned organisational units:
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working groups | No working group selected |
Funding
Funding program | |||
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Österreichischer Austauschdienst GmbH (OeAD)
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Cooperations
Organisation | Address | ||
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University Ljubljana, Institute of Mathematics, Physics and Mechanics
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SI - 1000 Ljubljana |
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