Inertia, positive definiteness and ℓ norm of GCD and LCM matrices and their unitary analogs-Reference-Cited by-同舟云学术

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Inertia, positive definiteness and ℓ norm of GCD and LCM matrices and their unitary analogs

Published:2018-12 Issue: Volume:558 Page:1-24
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Haukkanen Pentti,Tóth László^ORCID

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference43 articles.

1. On the matrix norms of a GCD related matrix;Altinisik;Math. Inequal. Appl.,2008

2. A note on bounds for norms of the reciprocal LCM matrix;Altinisik;Math. Inequal. Appl.,2004

3. Introduction to Analytic Number Theory;Apostol,1976

4. Infinitely divisible matrices;Bhatia;Amer. Math. Monthly,2006

5. Matrices associated with arithmetical functions;Bourque;Linear Multilinear Algebra,1993

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Studying the inertias of LCM matrices and revisiting the Bourque-Ligh conjecture;Journal of Combinatorial Theory, Series A;2020-04

2. Total nonnegativity of GCD matrices and kernels;Linear Algebra and its Applications;2019-10

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