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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