33 citations · 39 across the 7 of their papers we have counts for
8 papers
A nice involution for multivariable polynomial rings
Wiland Schmale
The principal minors of the Toeplitz matrix , where if , directly determine an involution of the polynomial ring $…
Algebraic condition for the singularity of certain Töplitz pencils
Wiland Schmale
An algebraic condition for the singularity of certain Töplitz matrix pencils is derived which involves only the principal minors of the constant parts of the pencils. This leads to…
Minimal state space realizations in Jacobson normal form
Naoharo Ito, Wiland Schmale, Harald Wimmer
We derive a procedure for a minimal state space realization of a rational transfer matrix over an arbitrary eld. The procedure is based on the Smith- McMillan form and leads to a s…
Feedback classification of linear systems over von Neumann regular rings
Andres Saez-Schwedt, Wiland Schmale
It is proved that feedback classification of a linear system over a commutative von Neumann regular ring R can be reduced to the classification of a finite family of systems, each…
On doubly-cyclic convolutional codes
Heide Gluesing-Luerssen, Wiland Schmale
Cyclicity of a convolutional code (CC) is relying on a nontrivial automorphism of the algebra F[x]/(x^n-1), where F is a finite field. If this automorphism itself has certain speci…
Distance bounds for convolutional codes and some optimal codes
Heide Gluesing-Luerssen, Wiland Schmale
After a discussion of the Griesmer and Heller bound for the distance of a convolutional code we present several codes with various parameters, over various fields, and meeting the…