@thesis{RISC4377,author = {Johannes Middeke},
title = {{A computational view on normal forms of matrices of Ore polynomials}},
language = {english},
abstract = {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.},
year = {2011},
month = {July},
translation = {0},
school = {Research Institute for Symbolic Computation (RISC)},
length = {102},
type = {RISC Technical Report 11-10},
type = {phdthesis}
}