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Tropical compound matrix identities

JOURNAL ARTICLE published August 2018 in Linear Algebra and its Applications

Research funded by Investissement d'avenir (ANR-11-LABX-0056-LMH)

Authors: Marianne Akian | Stéphane Gaubert | Adi Niv

https://doi.org/10.1016/j.laa.2018.04.006 Actions

Tropical bounds for eigenvalues of matrices

JOURNAL ARTICLE published April 2014 in Linear Algebra and its Applications

Authors: Marianne Akian | Stéphane Gaubert | Andrea Marchesini

https://doi.org/10.1016/j.laa.2013.12.021 Actions

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

JOURNAL ARTICLE published September 2017 in Linear Algebra and its Applications

Research funded by Agence Nationale de la Recherche (ANR-08-SEGI-005)

Authors: Marianne Akian | Stéphane Gaubert | Meisam Sharify

https://doi.org/10.1016/j.laa.2016.11.004 Actions

Linear preservers of extremes of rank inequalities over semirings: Row and column ranks

JOURNAL ARTICLE published March 2006 in Linear Algebra and its Applications

Authors: LeRoy B. Beasley | Alexander E. Guterman | Young-Bae Jun | Seok-Zun Song

https://doi.org/10.1016/j.laa.2005.03.024 Actions

Linear operators strongly preserving idempotent matrices over semirings

JOURNAL ARTICLE published January 1992 in Linear Algebra and its Applications

Authors: LeRoy Beasley | N.J. Pullman

https://doi.org/10.1016/0024-3795(92)90448-j Actions

On common eigenvectors for semigroups of matrices in tropical and traditional linear algebra

JOURNAL ARTICLE published September 2013 in Linear Algebra and its Applications

Authors: Grigory B. Shpiz | Grigory L. Litvinov | Sergeĭ N. Sergeev

https://doi.org/10.1016/j.laa.2013.04.036 Actions

The tropical analogue of polar cones

JOURNAL ARTICLE published August 2009 in Linear Algebra and its Applications

Authors: Stéphane Gaubert | Ricardo D. Katz

https://doi.org/10.1016/j.laa.2009.03.012 Actions

Dedekind’s linear independence theorem over commutative semirings

JOURNAL ARTICLE published 2 January 2018 in Linear and Multilinear Algebra

Research funded by Natural Science Foundation of Fujian Province (2016J01012)

Authors: Yi-Jia Tan

https://doi.org/10.1080/03081087.2017.1287158 Actions

Max-Plus Algebra

BOOK CHAPTER published 2 November 2006 in Handbook of Linear Algebra

Authors: Marianne Akian | Ravindra Bapat | Stéphane Gaubert

https://doi.org/10.1201/9781420010572.ch25 Actions

Duality and interval analysis over idempotent semirings

JOURNAL ARTICLE published November 2012 in Linear Algebra and its Applications

Authors: Thomas Brunsch | Laurent Hardouin | Carlos Andrey Maia | Jörg Raisch

https://doi.org/10.1016/j.laa.2012.06.025 Actions

Max-Plus Algebra

BOOK CHAPTER published 5 December 2013 in Discrete Mathematics and Its Applications

Authors: Marianne Akian | Ravindra Bapat | Stéphane Gaubert

https://doi.org/10.1201/b16113-39 Actions

Frobenius and Dieudonné theorems over semirings

JOURNAL ARTICLE published January 2007 in Linear and Multilinear Algebra

Authors: Leroy B. Beasley | Alexander E. Guterman | Sang-Gu Lee | Seok-Zun Song

https://doi.org/10.1080/03081080500361256 Actions

Tropical planar networks

JOURNAL ARTICLE published June 2020 in Linear Algebra and its Applications

Authors: Stéphane Gaubert | Adi Niv

https://doi.org/10.1016/j.laa.2020.02.019 Actions

Rank functions of tropical matrices

JOURNAL ARTICLE published June 2016 in Linear Algebra and its Applications

Research funded by RFBR (15-01-01132) | RFBR (15-31-20329)

Authors: Alexander Guterman | Yaroslav Shitov

https://doi.org/10.1016/j.laa.2015.07.004 Actions

Idempotent matrices over antirings

JOURNAL ARTICLE published August 2009 in Linear Algebra and its Applications

Authors: David Dolžan | Polona Oblak

https://doi.org/10.1016/j.laa.2009.03.035 Actions

-simple image eigencones of tropical matrices

JOURNAL ARTICLE published October 2016 in Linear Algebra and its Applications

Research funded by APVV (04-04-12)

Authors: Ján Plavka | Sergeĭ Sergeev

https://doi.org/10.1016/j.laa.2016.06.013 Actions

Tropical patterns of matrices and the Gondran–Minoux rank function

JOURNAL ARTICLE published October 2012 in Linear Algebra and its Applications

Authors: A.E. Guterman | Ya.N. Shitov

https://doi.org/10.1016/j.laa.2012.04.028 Actions

Products of idempotent matrices over integral domains

JOURNAL ARTICLE published May 2009 in Linear Algebra and its Applications

Authors: K.P.S. Bhaskara Rao

https://doi.org/10.1016/j.laa.2008.11.018 Actions

Tropical polar cones, hypergraph transversals, and mean payoff games

JOURNAL ARTICLE published October 2011 in Linear Algebra and its Applications

Authors: Xavier Allamigeon | Stéphane Gaubert | Ricardo D. Katz

https://doi.org/10.1016/j.laa.2011.02.004 Actions

Interval systems over idempotent semiring

JOURNAL ARTICLE published August 2009 in Linear Algebra and its Applications

Authors: Laurent Hardouin | Bertrand Cottenceau | Mehdi Lhommeau | Euriell Le Corronc

https://doi.org/10.1016/j.laa.2009.03.039 Actions
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