A determinantal version of the frobenius-könig theorem

DOI10.1080/03081088408817619zbMath0551.15002OpenAlexW2057286968MaRDI QIDQ3344317

D. J. Hartfiel, Raphael Loewy

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/03081088408817619

zbMATH Keywords

determinantsprincipal minorsdiagonal similarityFrobenius-König theorem

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Canonical forms, reductions, classification (15A21)

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König's theorem and bimatroids, Partial matrices whose completions all have the same rank, Partial matrices of constant rank, Partial matrices whose completions have ranks bounded below, Singular, nonsingular, and bounded rank completions of ACI-matrices, Maximum rank matrix completion, The computational complexity of some problems of linear algebra, Principal minors and diagonal similarity of matrices