| 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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