Lower bounds for the largest eigenvalue of the gcd matrix on {1, 2,..., n}

DOI10.1007/s10587-016-0307-5zbMath1413.15036OpenAlexW2531660076MaRDI QIDQ2828832

Jorma Kaarlo Merikoski

Publication date: 26 October 2016

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/145886

zbMATH Keywords

eigenvalue boundsgreatest common divisor matrix

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Matrices of integers (15B36) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Related Items (1)

Bounds on the spectrum of nonsingular triangular \((0,1)\)-matrices

Cites Work

• On a conjecture of Ilmonen, Haukkanen and Merikoski concerning the smallest eigenvalues of certain GCD related matrices
• Greatest common divisor matrices
• ASYMPTOTIC BEHAVIOR OF EIGENVALUES OF GREATEST COMMON DIVISOR MATRICES
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