Lower bounds for determinants of matrices associated with classes of arithmetical Functions

DOI10.1080/03081089908818599zbMath0932.11018OpenAlexW2036309207MaRDI QIDQ4264448

Shao-Fang Hong

Publication date: 14 March 2000

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

Full work available at URL: https://doi.org/10.1080/03081089908818599

zbMATH Keywords

greatest common divisorSmith determinantGCD matrixgcd-closed setGram-Schmidt orthogonalization processquadratic arithmetical function

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Miscellaneous inequalities involving matrices (15A45) Arithmetic functions; related numbers; inversion formulas (11A25) Matrices, determinants in number theory (11C20)

Related Items (6)

ASYMPTOTIC BEHAVIOR OF THE SMALLEST EIGENVALUE OF MATRICES ASSOCIATED WITH COMPLETELY EVEN FUNCTIONS (mod r) ⋮ Notes on Hong's conjectures of real number power LCM matrices ⋮ Nonsingularity of matrices associated with classes of arithmetical functions ⋮ Nonsingularity of matrices associated with classes of arithmetical functions on lcm-closed sets ⋮ Nonsingularity of least common multiple matrices on gcd-closed sets ⋮ On Nonsingular Power LCM Matrices

Cites Work

• Simultaneous equations models in applied search theory
• Matrices associated with classes of arithmetical functions
• Bounds for determinants of matrices associated with classes of arithmetical functions
• On meet matrices on posets
• Matrices associated with arithmetical functions

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