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Rank-preserving diagonal completions of a matrix

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Publication:1085238
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DOI10.1016/0024-3795(87)90207-2zbMath0607.15002OpenAlexW1964787265MaRDI QIDQ1085238

Miroslav Fiedler, Thomas L. Markham

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90207-2


zbMATH Keywords

off-diagonal rankrank-preserving diagonal completions


Mathematics Subject Classification ID

Vector spaces, linear dependence, rank, lineability (15A03)


Related Items

A note on the nullity theorem ⋮ More on structure-ranks of matrices ⋮ On the structure rank of a class of structure matrices ⋮ A note on semi-orthogonal (G-matrix) and semi-involutory MDS matrices ⋮ On completions of symmetric and antisymmetric block diagonal partial matrices ⋮ Symmetrization of principal minors and cycle-sums ⋮ Suborthogonality and orthocentricity of matrices ⋮ Structure ranks of matrices ⋮ Two-graphs and NSSDs: an algebraic approach ⋮ The rank and eigenvalues of main diagonal perturbed matrices



Cites Work

  • Completing a matrix when certain entries of its inverse are specified
  • A characterization of tridiagonal matrices


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