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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