The principal rank characteristic sequence over various fields

DOI10.1016/j.laa.2014.06.045zbMath1297.15002OpenAlexW2042593547MaRDI QIDQ401187

J. Herrera, H. S. Yoon

Publication date: 26 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2014.06.045

zbMATH Keywords

finite fieldminorrankHermitian matrixsymmetric matrixprincipal rank characteristic sequence

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (10)

The enhanced principal rank characteristic sequence ⋮ The enhanced principal rank characteristic sequence for skew-symmetric matrices ⋮ On the almost-principal minors of a symmetric matrix ⋮ Some bounds on binary LCD codes ⋮ The signed enhanced principal rank characteristic sequence ⋮ The quasi principal rank characteristic sequence ⋮ On 0-1 matrices whose inverses have entries of the same modulus ⋮ Symmetric 0-1 matrices with inverses having two distinct values and constant diagonal ⋮ On the Principal Permanent Rank Characteristic Sequences of Graphs and Digraphs ⋮ Combinatorial properties of the enhanced principal rank characteristic sequence over finite fields

Cites Work

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• Quadratic forms and the graph isomorphism problem
• Open problems on GKK \(\tau\)-matrices
• The principal rank characteristic sequence of a real symmetric matrix
• Some outstanding problems in the theory of matrices
• Orthogonal Matrices Over Finite Fields

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