Inertia, positive definiteness and \(\ell_p\) norm of GCD and LCM matrices and their unitary analogs

DOI10.1016/j.laa.2018.08.022zbMath1403.15027arXiv1707.09473OpenAlexW2740965558MaRDI QIDQ1791684

Pentti Haukkanen, László Tóth

Publication date: 11 October 2018

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

Full work available at URL: https://arxiv.org/abs/1707.09473

zbMATH Keywords

positive definitenessasymptotic formulamatrix normarithmetical convolutionGCD type matrix

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25) Matrices of integers (15B36) Matrices, determinants in number theory (11C20)

Related Items (2)

Studying the inertias of LCM matrices and revisiting the Bourque-Ligh conjecture ⋮ Total nonnegativity of GCD matrices and kernels

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