Türkmen, RamazanBozkurt, Durmuş2020-03-262020-03-262004Türkmen, R., Bozkurt, D., (2004). A Note on the Norms of the GCD Matrix. Mathematical and Computational Applications, 9(2), 303-308.1300-686Xhttps://hdl.handle.net/20.500.12395/19321Let S={1, 2,..., n} be a set of positive integers. The n×n matrix [S]=(i, j), where sij =(xi, xj) the greatest common divisor of xi and xj, is called the greatest common divisor GCD matrix on S. In this study, we have obtained some bounds of norms of this matrix. In addition, we have obtained upper bounds of norms of the almost Hilbert-Smith GCD matrix is defined (S) = [(i, j)/ij]i, j=1n.eninfo:eu-repo/semantics/closedAccessGCD matrixHadamard ProductMatrix NormPositive DefiniteSingular ValuesUnitarily Invariant NormArticle92303308N/A