| 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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