On the matrix norms of a GCD related matrix

DOI10.7153/mia-11-53zbMath1210.11036OpenAlexW2315718276MaRDI QIDQ5506476

Ercan Altinisik

Publication date: 28 January 2009

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-11-53

zbMATH Keywords

Riemann zeta-functionSmith's determinantmatrix normEuler productarithmetical functionGCD matrix

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Arithmetic functions; related numbers; inversion formulas (11A25) Matrices of integers (15B36) Matrices, determinants in number theory (11C20)

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On the positive definiteness and eigenvalues of meet and join matrices ⋮ Inertia, positive definiteness and \(\ell_p\) norm of GCD and LCM matrices and their unitary analogs

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