Authors: Dodig, Marija 
Stošić, Marko 
Title: The rank distance problem for pairs of matrices and a completion of quasi-regular matrix pencils
Journal: Linear Algebra and Its Applications
Volume: 457
First page: 313
Last page: 347
Issue Date: 15-Sep-2014
Rank: M21
ISSN: 0024-3795
DOI: 10.1016/j.laa.2014.05.029
Abstract: 
In this paper we give a complete description of the possible feedback invariants of a pair of matrices submitted to an additive perturbation of low rank. Also, we describe the possible Kronecker invariants of a quasi-regular matrix pencil with a prescribed quasi-regular subpencil. All the results are valid over arbitrary fields
Keywords: Completion of matrix pencils | Majorization of partitions | Small rank perturbations
Publisher: Elsevier
Project: FCT, project ISFL-1-1431
Geometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems 
Geometry, Education and Visualization With Applications 

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