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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