Toeplitz minimal rank completions

DOI10.1016/0024-3795(94)90193-7zbMath0802.15001OpenAlexW2020655125MaRDI QIDQ1329934

Hugo J. Woerdeman

Publication date: 15 August 1994

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90193-7

zbMATH Keywords

Toeplitz matrixcompletionpartial block matrixToeplitz minimal rank

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

The cyclic rank completion problem with regular blocks ⋮ Max-min problems on the ranks and inertias of the matrix expressions \(A - BXC \pm (BXC)^{\ast}\) with applications ⋮ Unicity of minimal rank completions for tri-diagonal partial block matrices ⋮ Parametrization of minimal rank block Hankel matrix extensions and minimal partial realizations

Cites Work

• Unnamed Item
• On minimality in the partial realization problem
• The lower order of lower triangular operators and minimal rank extensions
• Minimal rank completions for block matrices
• Rank-preserving extensions of band matrices
• Minimal rank completions of partial banded matrices

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