Nonsingular ACI-matrices over integral domains
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Publication:414714
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
finite fieldpolynomial ringcompletionpartial matricesintegral domainsaffine column independent matrices
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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