On the norms of GCD matrices

DOI10.3390/mca7030205zbMath1013.15007OpenAlexW115726143MaRDI QIDQ1848705

Süleyman Solak, Durmuş Bozkurt

Publication date: 21 January 2003

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

Full work available at URL: https://doi.org/10.3390/mca7030205

zbMATH Keywords

Euclidean normsgreatest common divisor matrix\(\ell_p\) normsalmost GCD Cauchy-Hankel matricesalmost gcd Cauchy-Toeplitz matrixgcd matrices

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Related Items (2)

Inertia, positive definiteness and \(\ell_p\) norm of GCD and LCM matrices and their unitary analogs ⋮ On inverses of GCD matrices associated with multiplicative functions and a proof of the Hong-Loewy conjecture

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