Authors: Dodig, Marija 
Title: Matrix pencils completion problems
Journal: Linear Algebra and Its Applications
Volume: 428
Issue: 1
First page: 259
Last page: 304
Issue Date: 1-Jan-2008
Rank: M22
ISSN: 0024-3795
DOI: 10.1016/j.laa.2007.08.029
Abstract: 
In this paper we give a partial solution to the challenge problem posed by Loiseau et al. in [J. Loiseau, S. Mondié, I. Zaballa, P. Zagalak, Assigning the Kronecker invariants of a matrix pencil by row or column completion, Linear Algebra Appl. 278 (1998) 327-336], i.e. we assign the Kronecker invariants of a matrix pencil obtained by row or column completion. We have solved this problem over arbitrary fields.
Keywords: Completion | Kronecker canonical form | Kronecker invariants | Matrix pencils
Publisher: Elsevier
Project: FCT, Grant no. SFRH/BPD/26607/2006

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