Authors: Dodig, Marija 
Stošić, Marko 
Affiliations: Mechanics 
Mathematics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: BOUNDED RANK PERTURBATIONS OF QUASI-REGULAR PENCILS OVER ARBITRARY FIELDS
Journal: SIAM Journal on Matrix Analysis and Applications
Volume: 44
Issue: 4
First page: 1879
Last page: 1907
Issue Date: 1-Dec-2023
Rank: ~M22
ISSN: 0895-4798
DOI: 10.1137/22M1504068
Abstract: 
We solve the open problem of describing the possible Kronecker invariants of quasi-regular matrix pencils under bounded rank perturbations. By a quasi-regular matrix pencil we mean the full (normal) rank matrix pencil. The solution is explicit and constructive, and it is valid over arbitrary fields.
Keywords: completion of matrix pencils | low rank perturbations | matrix pencils
Publisher: SIAM

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