Log-majorization of the moduli of the eigenvalues of a matrix polynomial by tropical roots-Reference-Cited by-同舟云学术

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Log-majorization of the moduli of the eigenvalues of a matrix polynomial by tropical roots

Published:2017-09 Issue: Volume:528 Page:394-435
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Akian Marianne,Gaubert Stéphane,Sharify Meisam

Funder

National Radio Research Agency

Publisher

Elsevier BV

Subject

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

Reference39 articles.

1. Perturbation of eigenvalues of matrix pencils and optimal assignment problem;Akian;C. R. Acad. Sci. Paris Sér. I,2004

2. Max-plus algebras;Akian,2006

3. Non-archimedean valuations of eigenvalues of matrix polynomials;Akian;Linear Algebra Appl.,2016

4. Asymptotics of the Perron eigenvalue and eigenvector using max algebra;Akian;C. R. Acad. Sci. Paris Sér. I,1998

Cited by 7 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. On some aspects of spectral theory for infinite bounded non-negative matrices in max algebra;Linear and Multilinear Algebra;2023-03-15

2. Characterization of tropical projective quadratic plane curves in terms of the eigenvalue problem;Linear Algebra and its Applications;2022-07

3. Matrix representation of formal polynomials over max-plus algebra;Journal of Algebra and Its Applications;2020-08-31

4. Asymptotics of the eigenvalues for exponentially parameterized pentadiagonal matrices;Numerical Linear Algebra with Applications;2020-08-24

5. Spectral Inequalities for Nonnegative Tensors and Their Tropical Analogues;Vietnam Journal of Mathematics;2020-08-03

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