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• W2949804552 abstract "Let $S={x_1,x_2,dots,x_n}$ be a set of distinct positive integers, and let $f$ be an arithmetical function. The GCD matrix $(S)_f$ on $S$ associated with $f$ is defined as the $ntimes n$ matrix having $f$ evaluated at the greatest common divisor of $x_i$ and $x_j$ as its $ij$ entry. The LCM matrix $[S]_f$ is defined similarly. We consider inertia, positive definiteness and $ell_p$ norm of GCD and LCM matrices and their unitary analogs. Proofs are based on matrix factorizations and convolutions of arithmetical functions." @default.
• W2949804552 created "2019-06-27" @default.
• W2949804552 creator A5020763154 @default.
• W2949804552 creator A5050354606 @default.
• W2949804552 date "2017-07-29" @default.
• W2949804552 modified "2023-09-27" @default.
• W2949804552 title "Inertia, positive definiteness and $ell_p$ norm of GCD and LCM matrices and their unitary analogs" @default.
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• W2949804552 hasPublicationYear "2017" @default.
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