The principal rank characteristic sequence of a real symmetric matrix

DOI10.1016/j.laa.2011.11.013zbMath1236.15015OpenAlexW1972558562MaRDI QIDQ2427908

D. Dale Olesky, Richard A. Brualdi, Louis Deaett, Pauline van den Driessche

Publication date: 19 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.11.013

zbMATH Keywords

ranksymmetric matrixprincipal minor assignment

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (13)

The enhanced principal rank characteristic sequence ⋮ The enhanced principal rank characteristic sequence for skew-symmetric matrices ⋮ The principal rank characteristic sequence over various fields ⋮ On the almost-principal minors of a symmetric matrix ⋮ A matricial proof of the symmetric exchange axiom for eigenvalues of principal submatrices of a complex Hermitian matrix ⋮ The sepr-sets of sign patterns ⋮ 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 ⋮ Skew-symmetric matrices and their principal minors ⋮ Combinatorial properties of the enhanced principal rank characteristic sequence over finite fields

Cites Work

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• Principal minors. II: The principal minor assignment problem
• Open problems on GKK \(\tau\)-matrices
• Polynomial relations among principal minors of a \(4\times 4\)-matrix
• Hyperdeterminantal relations among symmetric principal minors
• Principal submatrices of normal and Hermitian matrices
• An application of metric geometry to determinants
• On real symmetric determinants whose principal diagonal elements are zero
• Note on an application of metric geometry to determinants
• On Symmetric Determinants
• On symmetric determinants

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