16 citations · 28 across the 4 of their papers we have counts for
4 papers
Fraction-free algorithm for the computation of diagonal forms matrices over Ore domains using Gr{ö}bner bases
Viktor Levandovskyy, Kristina Schindelar
This paper is a sequel to "Computing diagonal form and Jacobson normal form of a matrix using Groebner bases", J. of Symb. Computation, 46 (5), 2011. We present a new fraction-free…
Exact linear modeling using Ore algebras
Kristina Schindelar, Viktor Levandovskyy, Eva Zerz
Linear exact modeling is a problem coming from system identification: Given a set of observed trajectories, the goal is find a model (usually, a system of partial differential and/…
Computing diagonal form and Jacobson normal form of a matrix using Gröbner bases
Viktor Levandovskyy, Kristina Schindelar
In this paper we present two algorithms for the computation of a diagonal form of a matrix over non-commutative Euclidean domain over a field with the help of Gröbner bases. This c…
Minimal Gröbner bases and the predictable leading monomial property
M. Kuijper, K. Schindelar
We focus on Gröbner bases for modules of univariate polynomial vectors over a ring. We identify a useful property, the "predictable leading monomial (PLM) property" that is shared…