ASYMPTOTIC BEHAVIOR OF LARGEST EIGENVALUE OF MATRICES ASSOCIATED WITH COMPLETELY EVEN FUNCTIONS (MOD r)

DOI10.1142/S1793557108000217zbMath1172.11008MaRDI QIDQ3520548

Shao-Fang Hong

Publication date: 26 August 2008

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

eigenvalueasymptotic behaviorlower boundSmith determinantarithmetical functionGCD matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Matrices of integers (15B36) Matrices, determinants in number theory (11C20)

Related Items (10)

ASYMPTOTIC BEHAVIOR OF THE SMALLEST EIGENVALUE OF MATRICES ASSOCIATED WITH COMPLETELY EVEN FUNCTIONS (mod r) ⋮ LU-FACTORIZATIONS OF SYMMETRIC MATRICES WITH APPLICATIONS ⋮ On a conjecture of Ilmonen, Haukkanen and Merikoski concerning the smallest eigenvalues of certain GCD related matrices ⋮ On the positive definiteness and eigenvalues of meet and join matrices ⋮ Bounds on the spectrum of nonsingular triangular \((0,1)\)-matrices ⋮ On the eigenvalues of combined meet and join matrices ⋮ A proof of a conjecture on monotonic behavior of the smallest and the largest eigenvalues of a number theoretic matrix ⋮ Divisibility among power GCD matrices and among power LCM matrices on two coprime divisor chains ⋮ Divisibility among power GCD matrices and among power LCM matrices on three coprime divisor chains ⋮ Divisibility properties of power LCM matrices by power GCD matrices on gcd-closed sets

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