The enhanced principal rank characteristic sequence

DOI10.1016/j.laa.2015.03.023zbMath1334.15017OpenAlexW2092986775MaRDI QIDQ269271

F. Blanchet-Sadri, M. Dambrine

Publication date: 18 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2015.03.023

zbMATH Keywords

Schur complementminorrankHermitian matrixsymmetric matrixenhanced principal rank characteristic sequenceprincipal rank characteristic sequence

Mathematics Subject Classification ID

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

Related Items (9)

The enhanced principal rank characteristic sequence for skew-symmetric matrices ⋮ On the almost-principal minors of a symmetric 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 ⋮ Combinatorial properties of the enhanced principal rank characteristic sequence over finite fields

Cites Work

• The principal rank characteristic sequence over various fields
• Open problems on GKK \(\tau\)-matrices
• Eigenvalue multiplicities in principal submatrices
• The principal rank characteristic sequence of a real symmetric matrix

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