On the positive definiteness and eigenvalues of meet and join matrices-Reference-Cited by-同舟云学术

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On the positive definiteness and eigenvalues of meet and join matrices

Published:2014-07 Issue: Volume:326 Page:9-19
ISSN:0012-365X
Container-title:Discrete Mathematics
language:en
Short-container-title:Discrete Mathematics

Author:

Mattila Mika^ORCID,Haukkanen Pentti

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference44 articles.

1. Combinatorial Theory;Aigner,1979

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

3. On inverses of GCD matrices associated with multiplicative functions and a proof of the Hong–Loewy conjecture;Altinisik;Linear Algebra Appl.,2009

4. GCD matrices, posets and nonintersecting paths;Altinisik;Linear Multilinear Algebra,2005

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

Cited by 14 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. Gcd-closed sets and divisibility of Smith matrices;Journal of Combinatorial Theory, Series A;2022-05

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

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

4. A Notion of Positive Definiteness for Arithmetical Functions;Contributions to Statistics;2019

5. Inertia, positive definiteness and ℓ norm of GCD and LCM matrices and their unitary analogs;Linear Algebra and its Applications;2018-12

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