12 citations · 13 across the 6 of their papers we have counts for
12 papers
Pairs of Modules over a Principal Ideal Domain
Pudji Astuti, Harald K. Wimmer
We study pairs of finitely generated modules over a principal ideal domain and their corresponding matrix representations. We introduce equivalence relations for such pairs and det…
Homomorphisms of modules associated with polynomial matrices with infinite elementary divisors
Pudji Astuti, Harald K. Wimmer
If the inverse of a nonsingular polynomial matrix has a polynomial part then one can associate with a module over the ring of proper rational functions, which is related to…
A class of marked invariant subspaces with an application to algebraic Riccati equations
Pudji Astuti, Harald K. Wimmer
Invariant subspaces of a matrix are considered which are obtained by truncation of a Jordan basis of a generalized eigenspace of . We characterize those subspaces which are…
Hyperinvariant, characteristic and marked subspaces
Pudji Astuti, Harald K. Wimmer
Let be a finite dimensional vector space over a field and a -endomorphism of . In this paper we study three types of -invariant subspaces, namely hyperinvarian…
Characteristic and hyperinvariant subspaces over the field GF(2)
Pudji Astuti, Harald K. Wimmer
Let be an endomorphism of a vector space over a field . An -invariant subspace is called hyperinvariant (respectively characteristic) if is invari…
Characteristic subspaces and hyperinvariant frames
Pudji Astuti, Harald K. Wimmer
Let be an endomorphism of a finite dimensional vector space over a field . An -invariant subspace of is called hyperinvariant (respectively characteristic) if it…
Bilinear characterizations of companion matrices
Minghua Lin, Harald K. Wimmer
Companion matrices of the second type are characterized by properties that involve bilinear maps.
Regular submodules of torsion modules over a discrete valuation domain
Pudji Astuti, Harald K. Wimmer
A submodule of a p-primary module of bounded order is known to be regular if and have simultaneous bases. In this paper we derive necessary and sufficient condition…
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…
Hyperinvariant subspaces of locally nilpotent linear transformations
Pudji Astuti, Harald K. Wimmer
A subspace of a vector space over a field is hyperinvariant with respect to an endomorphism of if it is invariant for all endomorphisms of that commute with …
Linear transformations with characteristic subspaces that are not hyperinvariant
Pudji Astuti, Harald K. Wimmer
If is an endomorphism of a finite dimensional vector space over a field then an invariant subspace is called hyperinvariant (respectively, characteristic) i…
Pairs of -step reachability and -step observability matrices
Augusto Ferrante, Harald K. Wimmer
Let and be matrices of size and , respectively. A necessary and sufficient condition is given for the existence of a triple such tha…