Determinant and inverse of meet and join matrices

DOI10.1155/2007/37580zbMath1144.15001OpenAlexW1970811335MaRDI QIDQ925390

Naim Tuglu, Ercan Altinisik, Pentti Haukkanen

Publication date: 3 June 2008

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54454

zbMATH Keywords

determinantinversejoin matrix of two subsetmeet matrix of two subset

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (9)

Max and Min matrices with hyper-Fibonacci numbers ⋮ Determinant and inverse of join matrices on two sets ⋮ Studying the various properties of MIN and MAX matrices -- elementary vs. more advanced methods ⋮ On the positive definiteness and eigenvalues of meet and join matrices ⋮ On the eigenvalues of combined meet and join matrices ⋮ Studying the singularity of LCM-type matrices via semilattice structures and their Möbius functions ⋮ Arithmetical summability ⋮ A lattice-theoretic approach to the Bourque–Ligh conjecture ⋮ Some properties of row-adjusted meet and join matrices

Cites Work

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• The determinants of GCD matrices
• Introduction to arithmetical functions
• On greatest common divisor matrices and their applications
• On Smith's determinant
• On meet and join matrices associated with incidence functions.
• Matrices associated with multiplicative functions
• On meet matrices on posets
• Gcd-closed sets and determinants of matrices associated with arithmetical functions
• Some analogues of smith's determinant
• Determinants of Matrices Associated with Incidence Functions on Posets
• Matrices associated with arithmetical functions
• GCD matrices, posets, and nonintersecting paths
• On a general form of meet matrices associated with incidence functions
• Bounds for determinants of meet matrices associated with incidence functions
• Explicit expressions of Smith's determinant on a poset

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