On Bounds for the Smallest and the Largest Eigenvalues of GCD and LCM Matrices

zbMath1398.15036arXiv1408.3113MaRDI QIDQ2794807

Ercan Altinisik, Şerife Büyükköse

Publication date: 11 March 2016

Full work available at URL: https://arxiv.org/abs/1408.3113

zbMATH Keywords

traceeigenvalue inequalitiesGCD matrixLCM matrixEuler's phi-functionRayleigh-Ritz theoremCauchy's interlacing theorem

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Matrices of integers (15B36)

Related Items (3)

Bounds on the spectrum of nonsingular triangular \((0,1)\)-matrices ⋮ On the smallest singular value in the class of unit lower triangular matrices with entries in \([-a, a\)] ⋮ Studying the inertias of LCM matrices and revisiting the Bourque-Ligh conjecture

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