Nonsingular ACI-matrices over integral domains

DOI10.1016/j.laa.2011.12.038zbMath1250.15028OpenAlexW2094769136MaRDI QIDQ414714

Alberto Borobia, Roberto Canogar

Publication date: 11 May 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2011.12.038

zbMATH Keywords

finite fieldpolynomial ringcompletionpartial matricesintegral domainsaffine column independent matrices

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix completion problems (15A83)

Related Items (6)

ACI-matrices of constant rank over arbitrary fields ⋮ On the maximum rank of completions of entry pattern matrices ⋮ Partial matrices whose completions all have the same rank ⋮ Characterization of full rank ACI-matrices over fields ⋮ Partial matrices of constant rank ⋮ The WST-decomposition for partial matrices

Cites Work

• Partial matrices whose completions have ranks bounded below
• Spaces of matrices without non-zero eigenvalues in their field of definition, and a question of Szechtman
• ACI-matrices all of whose completions have the same rank
• Matrix completion problems over integral domains: the case with a diagonal of prescribed blocks
• A matrix completion problem over integral domains: the case with \(2n-3\) prescribed entries
• On the matrices of given rank in a large subspace
• Singular, nonsingular, and bounded rank completions of ACI-matrices

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