Authors: Dodig, Marija 
Title: Completion up to a matrix pencil with column minimal indices as the only nontrivial Kronecker invariants
Journal: Linear Algebra and Its Applications
Volume: 438
Issue: 8
First page: 3155
Last page: 3173
Issue Date: 4-Feb-2013
Rank: M22
ISSN: 0024-3795
DOI: 10.1016/j.laa.2012.12.040
Abstract: 
In this paper we give explicit, necessary and sufficient conditions for a completion of an arbitrary matrix pencil up to a pencil with a prescribed set of Kronecker invariants, in the case when the only nontrivial invariants of the resulting pencil are its column (row) minimal indices. The result is given over arbitrary fields.
Keywords: completion | matrix pencils | partitions
Publisher: Elsevier
Project: FCT, project ISFL-1-1431
Geometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems 

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