Authors: Dodig, Marija 
Stošić, Marko 
Affiliations: Mechanics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Completion of matrix pencils with a single rank restriction
Journal: Linear and Multilinear Algebra
Issue Date: 1-Jan-2021
Rank: ~M21
ISSN: 0308-1087
DOI: 10.1080/03081087.2021.1981810
In this paper we consider and solve the General Matrix Pencil Completion Problem (GMPCP) under single rank restrictions. These constraints are less limiting than any other restrictions on the GMPCP studied in the past. Thus, the obtained results directly generalize the existing results in the literature on the GMPCP. Finally, as one direct corollary of the main results, we obtain a novel result on determining the possible Kronecker invariants of a quasi-regular matrix pencil with a prescribed subpencil.
Keywords: 05A17 | 15A83 | Completion of matrix pencils | polynomial chains | quasi-regular pencils | rank restrictions
Publisher: Taylor & Francis

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