Bounds for determinants of meet matrices associated with incidence functions

DOI10.1016/S0024-3795(01)00238-5zbMath0991.15011WikidataQ126351542 ScholiaQ126351542MaRDI QIDQ5935581

Pentti Haukkanen, Ismo Korkee

Publication date: 18 August 2002

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

zbMATH Keywords

Gram-Schmidt orthogonalizationinverse matrixsemilatticebounds for determinantincidence functionmeet matrixSmith determinant

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Miscellaneous inequalities involving matrices (15A45) Semimodular lattices, geometric lattices (06C10)

Related Items (12)

Perturbations of determinants of matrices ⋮ Determinant and inverse of join matrices on two sets ⋮ On meet and join matrices associated with incidence functions. ⋮ Determinant and inverse of meet and join matrices ⋮ On the positive definiteness and eigenvalues of meet and join matrices ⋮ On a general form of meet matrices associated with incidence functions ⋮ On the eigenvalues of combined meet and join matrices ⋮ On eigenvalues of meet and join matrices associated with incidence functions ⋮ On the divisibility of meet and join matrices ⋮ Meet and join matrices in the poset of exponential divisors ⋮ On meet hypermatrices and their eigenvalues ⋮ A lattice-theoretic approach to the Bourque–Ligh conjecture

Cites Work

• Bounds for determinants of matrices associated with classes of arithmetical functions
• On meet matrices on posets
• Matrix Analysis

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