"A computational view on normal forms of matrices of Ore polynomials"
, Serie Research Institute for Symbolic Computation (RISC), 7-2011
A computational view on normal forms of matrices of Ore polynomials
Sprache des Titels:
This thesis treats normal forms of matrices over rings of Ore polynomials. The whole thesis is divided in three parts: First, Ore polynomials are described and basic facts about them are recalled. This part also includes integro-differential operators as an extended example. Second, in the main part we present one- and two-sided normal forms of matrices. More precisely, we deal with the Popov normal form, Hermite normal form and the Jacobson normal form. In the last part, we explore an application of matrix normal forms to a problem in control theory.
Sprache der Kurzfassung:
Research Institute for Symbolic Computation (RISC)