Authors: Dodig, Marija 
Title: Explicit solution of the row completion problem for matrix pencils
Journal: Linear Algebra and Its Applications
Volume: 432
Issue: 5
First page: 1299
Last page: 1309
Issue Date: 15-Feb-2010
Rank: M22
ISSN: 00243795
DOI: 10.1016/j.laa.2009.10.039
Abstract: 
In this paper we give new, explicit and simplified conditions for the problem of determining the possible strict equivalence class of a pencil with prescribed rows (columns). This improves the result from [1] and solves an important particular case of the challenge problem posed by Loiseau et al. [7]. All results that we present are obtained over arbitrary fields.
Keywords: Completion | Kronecker invariants | Matrix pencils
Publisher: Elsevier
Project: FCT, Projects ISFL-1-1431 and SFRH/BPD/26607/2006
Ministry of Science of Serbia, Project No. 144014

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