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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