Authors: | Dodig, Marija | Title: | Completion of quasi-regular matrix pencils | Journal: | Linear Algebra and Its Applications | Volume: | 501 | First page: | 198 | Last page: | 241 | Issue Date: | 15-Jul-2016 | Rank: | M21 | ISSN: | 0024-3795 | DOI: | 10.1016/j.laa.2016.03.020 | Abstract: | In this paper we give solutions for two important particular cases of the general completion problem, involving quasi-regular matrix pencil. We describe the possible Kronecker invariants of a quasi-regular pencil whose subpencil is prescribed in the case when the prescribed subpencil is without nontrivial homogeneous invariant factors. Also, we solve "the dual problem" by describing the possible Kronecker invariants of a pencil without nontrivial homogeneous invariant factors when a quasi-regular subpencil is prescribed. These two results are expected to be the crucial steps toward a solution of the general completion problem. The results are given over algebraically closed fields. |
Keywords: | Completion of matrix pencils | Partitions of integers | Polynomial paths | Quasi-regular matrix pencils | Publisher: | Elsevier | Project: | FCT, project ISFL-1-1431 Geometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems |
Show full item record
SCOPUSTM
Citations
9
checked on Dec 20, 2024
Page view(s)
25
checked on Dec 22, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.