A note on the norms of the GCD matrix

DOI10.3390/mca9020303zbMath1141.15345OpenAlexW112125624MaRDI QIDQ928636

Durmuş Bozkurt, Ramazan Türkmen

Publication date: 11 June 2008

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

Full work available at URL: https://doi.org/10.3390/mca9020303

zbMATH Keywords

greatest common divisorHadamard productsingular valuesmatrix normunitarily invariant normpositive definiteGCD matrixbounds of normsHilbert-Schmidt GCD matrix

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Matrices of integers (15B36) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05) Matrices, determinants in number theory (11C20)

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