The Tropical Nullstellensatz and Positivstellensatz for Sparse Polynomial Systems

PROCEEDINGS ARTICLE published 24 July 2023 in Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation

Authors: Marianne Akian | Antoine Béreau | Stéphane Gaubert

A class of periodic minplus homogeneous dynamical systems

OTHER published 2009 in Tropical and Idempotent Mathematics

Authors: Nadir Farhi

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

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

Monotone Linear Transformations on Matrices over Semirings

JOURNAL ARTICLE published September 2018 in Journal of Mathematical Sciences

Authors: A. E. Guterman | E. M. Kreines | Qing-Wen Wang

Graph selectors and the max-plus finite element method

OTHER published 2009 in Tropical and Idempotent Mathematics

Authors: D. McCaffrey

Tropical linear-fractional programming and parametric mean payoff games

JOURNAL ARTICLE published December 2012 in Journal of Symbolic Computation

Authors: Stéphane Gaubert | Ricardo D. Katz | Sergeĭ Sergeev

Max-Plus Algebra

BOOK CHAPTER published 2 November 2006 in Handbook of Linear Algebra

Authors: Marianne Akian | Ravindra Bapat | Stéphane Gaubert

Cyclic projectors and separation theorems in idempotent convex geometry

JOURNAL ARTICLE published December 2008 in Journal of Mathematical Sciences

Authors: S. Gaubert | S. Sergeev

Matrix Invariants over Semirings

BOOK CHAPTER published 2009 in Handbook of Algebra - Volume 6

Authors: Alexander E. Guterman

Max-Plus Algebra

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

Authors: Marianne Akian | Ravindra Bapat | Stéphane Gaubert

Algebraic structures of tropical mathematics

OTHER published 2014 in Contemporary Mathematics

Authors: Zur Izhakian | Manfred Knebusch | Louis Rowen

Linear Preservers of Extremes of Rank Inequalities over Semirings: The Factor Rank

JOURNAL ARTICLE published December 2005 in Journal of Mathematical Sciences

Authors: L. B. Beasley | A. E. Guterman

Factor rank preservers of matrices over additively-idempotent multiplicatively-cancellative semirings

JOURNAL ARTICLE published May 2021 in Asian-European Journal of Mathematics

Authors: Sushobhan Maity | A. K. Bhuniya

The max-plus Martin boundary

JOURNAL ARTICLE published 2009 in Documenta Mathematica

Authors: Marianne Akian | Stéphane Gaubert | Cormac Walsh

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

The tropical analogue of polar cones

JOURNAL ARTICLE published August 2009 in Linear Algebra and its Applications

Authors: Stéphane Gaubert | Ricardo D. Katz

Tropical support sets in analysis of weak links and complementarity

OTHER published 2014 in Contemporary Mathematics

Authors: Vladimir Matveenko

Tropical Plücker functions and Kashiwara crystals

OTHER published 2014 in Contemporary Mathematics

Authors: V. Danilov | A. Karzanov | G. Koshevoy

A constrained tropical optimization problem: Complete solution and application example

OTHER published 2014 in Contemporary Mathematics

Authors: Nikolai Krivulin