The signed enhanced principal rank characteristic sequence

DOI10.1080/03081087.2017.1363149zbMath1392.15051arXiv1612.08940OpenAlexW2567024722MaRDI QIDQ4640114

Xavier Martinez-Rivera

Publication date: 16 May 2018

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

Full work available at URL: https://arxiv.org/abs/1612.08940

zbMATH Keywords

minorrankHermitian matrixsepr-sequence

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Hermitian, skew-Hermitian, and related matrices (15B57) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

On the almost-principal minors of a symmetric matrix ⋮ The sepr-sets of sign patterns ⋮ The quasi principal rank characteristic sequence

Cites Work

• The enhanced principal rank characteristic sequence
• The enhanced principal rank characteristic sequence for skew-symmetric matrices
• The principal rank characteristic sequence over various fields
• Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley
• Principal minors. I: A method for computing all the principal minors of a matrix
• Open problems on GKK \(\tau\)-matrices
• The principal rank characteristic sequence of a real symmetric matrix
• The Enhanced Principal Rank Characteristic Sequence for Hermitian Matrices
• The enhanced principal rank characteristic sequence over a field of characteristic 2
• Classification of families of pr- and epr-sequences

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