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dc.contributor.authorDodig, Marijaen_US
dc.contributor.authorStošić, Markoen_US
dc.date.accessioned2020-09-14T07:40:04Z-
dc.date.available2020-09-14T07:40:04Z-
dc.date.issued2020-09-06-
dc.identifier.issn0308-1087-
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/4058-
dc.description.abstractThe classical completion problem of describing the possible similarity class of a square matrix with a prescribed arbitrary submatrix was studied by many authors through time, and it is completely solved in [Dodig M, Stošić M. Similarity class of a matrix with prescribed submatrix. Linear Multilinear Algebra. 2009;57:217–245; Combinatorics of polynomial chains. Linear Algebra Appl. 2020;589:130–157]. In this paper we show a surprising relation between this notable problem and the problem of describing the feedback invariants of restrictions and quotients of series connected systems studied in [Baragaña I, Zaballa I. Feedback invariants of restrictions and quotients: series connected systems. Linear Algebra Appl. 2002;351-352:69–89; Dodig M, Silva FC. Controllability of series connections of arbitrarily many linear systems. Linear Algebra Appl. 2008;429:122–141]. As a corollary, we obtain a new combinatorial result on partitions of integers.en_US
dc.publisherTaylor & Francisen_US
dc.relationFCT, projects UIDB/04721/2020, Exploratory Grants IF/01232/2014/CP1216/CT0012 and IF/0998/2015en_US
dc.relation.ispartofLinear and Multilinear Algebraen_US
dc.subjectclassical majorization | Completion of matrix pencils | partitions of integersen_US
dc.titleA new approach to square matrix completion problemen_US
dc.typeArticleen_US
dc.identifier.doi10.1080/03081087.2020.1809616-
dc.identifier.scopus2-s2.0-85090310648-
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Artsen_US
dc.description.rankM21-
item.fulltextNo Fulltext-
item.openairetypeArticle-
item.grantfulltextnone-
item.cerifentitytypePublications-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
crisitem.author.orcid0000-0001-8209-6920-
crisitem.author.orcid0000-0002-4464-396X-
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