Combinatorial properties of the enhanced principal rank characteristic sequence over finite fields

The enhanced principal rank characteristic sequence (epr-sequence) of a symmetric matrix B ∈ 𝔽n×n is defined as ℓ1ℓ2· · · ℓn, where ℓj ∈ {A, S, N} according to whether all, some but not all, or none of the principal minors of order j of B are nonzero. Building upon the second author’s recent classif...

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Bibliographic Details
Main Authors: Dukes Peter J., Martínez-Rivera Xavier
Format: Article
Language:English
Published: De Gruyter 2021-12-01
Series:Special Matrices
Subjects:
Online Access:https://doi.org/10.1515/spma-2021-0154