H. K. Wimmer

activity

20132018

most citedRegular submodules of torsion modules over a discrete valuation domain

12 citations · 13 across the 6 of their papers we have counts for

collaborators

Showing 2016Show all

8 papers · 1 filter

math.RA2016

Homomorphisms of modules associated with polynomial matrices with infinite elementary divisors

Pudji Astuti, Harald K. Wimmer

If the inverse of a nonsingular polynomial matrix $L$ has a polynomial part then one can associate with $L$ a module over the ring of proper rational functions, which is related to…

math.RA2016★ 1 cited

A class of marked invariant subspaces with an application to algebraic Riccati equations

Pudji Astuti, Harald K. Wimmer

Invariant subspaces of a matrix $A$ are considered which are obtained by truncation of a Jordan basis of a generalized eigenspace of $A$ . We characterize those subspaces which are…

math.RA2016

Hyperinvariant, characteristic and marked subspaces

Pudji Astuti, Harald K. Wimmer

Let $V$ be a finite dimensional vector space over a field $K$ and $f$ a $K$ -endomorphism of $V$ . In this paper we study three types of $f$ -invariant subspaces, namely hyperinvarian…

math.RA2016

Characteristic and hyperinvariant subspaces over the field GF(2)

Pudji Astuti, Harald K. Wimmer

Let $f$ be an endomorphism of a vector space $V$ over a field $K$ . An $f$ -invariant subspace $X \subseteq V$ is called hyperinvariant (respectively characteristic) if $X$ is invari…

math.RA2016

Characteristic subspaces and hyperinvariant frames

Pudji Astuti, Harald K. Wimmer

Let $f$ be an endomorphism of a finite dimensional vector space $V$ over a field $K$ . An $f$ -invariant subspace of $V$ is called hyperinvariant (respectively characteristic) if it…

math.NA2016

Bilinear characterizations of companion matrices

Minghua Lin, Harald K. Wimmer

Companion matrices of the second type are characterized by properties that involve bilinear maps.

math.AC2016★ 12 cited

Regular submodules of torsion modules over a discrete valuation domain

Pudji Astuti, Harald K. Wimmer

A submodule $W$ of a p-primary module $M$ of bounded order is known to be regular if $W$ and $M$ have simultaneous bases. In this paper we derive necessary and sufficient condition…

math.OC2016

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…