| Authors: | Dodig, Marija Stošić, Marko |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | RANK ONE PERTURBATIONS of MATRIX PENCILS | Journal: | SIAM Journal on Matrix Analysis and Applications | Volume: | 41 | Issue: | 4 | First page: | 1889 | Last page: | 1911 | Issue Date: | 1-Jan-2020 | Rank: | M21 | ISSN: | 0895-4798 | DOI: | 10.1137/19M1279411 | Abstract: | For the first time in the literature we completely resolve the open problem of describing the possible Kronecker invariants of an arbitrary matrix pencil under rank one perturbations. The solution is explicit and constructive, and it is valid for arbitrary pencils. |
Keywords: | Low rank perturbations | Matrix pencils | One-row completions | Publisher: | SIAM |
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