Partial matrices whose completions have ranks bounded below

DOI10.1016/j.laa.2011.04.012zbMath1225.15025OpenAlexW2011080030MaRDI QIDQ551354

Rachel Quinlan, James McTigue

Publication date: 15 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.04.012

zbMATH Keywords

matrix completionrankaffine spacepartial matrix

Mathematics Subject Classification ID

Vector spaces, linear dependence, rank, lineability (15A03) Matrix completion problems (15A83)

Related Items (8)

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 ⋮ Nonsingular ACI-matrices over integral domains ⋮ On completions of symmetric and antisymmetric block diagonal partial matrices ⋮ Characterization of full rank ACI-matrices over fields ⋮ Partial matrices of constant rank ⋮ Almost-nonsingular entry pattern matrices

Cites Work

• Unnamed Item
• 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
• On two extremal matrix problems
• On the matrices of given rank in a large subspace
• On Nilalgebras and Linear Varieties of Nilpotent Matrices, I
• A determinantal version of the frobenius-könig theorem
• Singular, nonsingular, and bounded rank completions of ACI-matrices

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