ACI-matrices all of whose completions have the same rank

DOI10.1016/j.laa.2010.11.047zbMath1256.15014OpenAlexW2021640991MaRDI QIDQ630549

Xingzhi Zhan, Ze-Jun Huang

Publication date: 17 March 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.2010.11.047

zbMATH Keywords

rankcompletionpartial matrixACI-matrixaffine column independent

Mathematics Subject Classification ID

Matrices over function rings in one or more variables (15A54) Vector spaces, linear dependence, rank, lineability (15A03) Matrix completion problems (15A83)

Related Items (9)

ACI-matrices of constant rank over arbitrary fields ⋮ Affine subspaces of matrices with constant rank ⋮ Partial matrices whose completions all have the same rank ⋮ Nonsingular ACI-matrices over integral domains ⋮ Partial matrices all of whose completions have the same spectrum ⋮ Characterization of full rank ACI-matrices over fields ⋮ Partial matrices of constant rank ⋮ The WST-decomposition for partial matrices ⋮ Partial matrices whose completions have ranks bounded below

Cites Work

• Singular, nonsingular, and bounded rank completions of ACI-matrices
• Unnamed Item

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