Geodesic
Matrix pencils completions under double rank restrictions
Filomat, Tome 36 (2022) no. 4, p. 1269

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DOI

In this paper we study the General Matrix Pencil Completion Problem under double rank restrictions. Considered rank restrictions are not structural, hence the obtained results deal with full sets of Kronecker invariants of the involved matrix pencils, and they generalize many of the existing results in the literature, for example [1, 5, 7, 9, 11, 12, 21, 24, 45, 46]. Main methods consist of combining the celebrated Sá-Thompson's result [1, 39, 44] with novel results on rank restrictions in completions of matrix pencils. All of the obtained results are explicit and constructive
DOI : 10.2298/FIL2204269D
Classification : 15A83, 05A17
Keywords: Completion of matrix pencils, rank restrictions 
Marija Dodig. Matrix pencils completions under double rank restrictions. Filomat, Tome 36 (2022) no. 4, p. 1269 . doi: 10.2298/FIL2204269D
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     author = {Marija Dodig},
     title = {Matrix pencils completions under double rank restrictions},
     journal = {Filomat},
     pages = {1269 },
     year = {2022},
     volume = {36},
     number = {4},
     doi = {10.2298/FIL2204269D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2204269D/}
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