On bounds for the smallest and the largest eigenvalues of GCD and LCM matrices
Ercan Altınışık, Şerife Büyükköse · Mathematical Inequalities & Applications · 2016
In this paper, improving a famous result of Wolkowicz and Styan for the GCD matrix (S n ) and the LCM matrix [S n ] defined on S n = {1,2,... ,n} , we present new upper and lower bounds for the smallest and the largest eigenvalues of (S n ) and [S n ] in terms of particular arithmetical functions.