Idempotent algebra models of single-agent and multi-agent dynamics

OTHER published 2014 in Contemporary Mathematics

Authors: Dmitry Nikolayev

Tropical geometry over the tropical hyperfield

JOURNAL ARTICLE published 1 February 2022 in Rocky Mountain Journal of Mathematics

Authors: Oliver Lorscheid

Multiplicatively Idempotent Semirings with Annihilator Condition

JOURNAL ARTICLE published March 2023 in Russian Mathematics

Authors: E. M. Vechtomov | A. A. Petrov

An approximation of Hopf-Lax type formula via idempotent analysis

OTHER published 2014 in Contemporary Mathematics

Authors: Antonio Avantaggiati | Paola Loreti

Tropicalization and tropical equilibration of chemical reactions

OTHER published 2014 in Contemporary Mathematics

Authors: Vincent Noel | Dima Grigoriev | Sergei Vakulenko | Ovidiu Radulescu

Linear preservers of extremes of rank inequalities over semirings: Term rank and zero-term rank

JOURNAL ARTICLE published September 2006 in Journal of Mathematical Sciences

Authors: L. B. Beasley | A. E. Guterman | S.-C. Yi

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

Parametric dequantization, tropical reduction of hyperfields and steady states of AC electrical networks

OTHER published 2014 in Contemporary Mathematics

Authors: B. Kirshtein

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

Idempotent definite closures of matrices

JOURNAL ARTICLE published May 2006 in Doklady Mathematics

Authors: S. N. Sergeev

Universal algorithms for solving the matrix Bellman equations over semirings

JOURNAL ARTICLE published October 2013 in Soft Computing

Authors: G. L. Litvinov | A. Ya. Rodionov | S. N. Sergeev | A. N. Sobolevski

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

Idempotent/Tropical Analysis, the Hamilton–Jacobi and Bellman Equations

BOOK CHAPTER published 2013 in Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications

Authors: Grigory L. Litvinov

Spectral Inequalities for Nonnegative Tensors and Their Tropical Analogues

JOURNAL ARTICLE published December 2020 in Vietnam Journal of Mathematics

Authors: Shmuel Friedland | Stéphane Gaubert

Tropical planar networks

JOURNAL ARTICLE published June 2020 in Linear Algebra and its Applications

Authors: Stéphane Gaubert | Adi Niv

Linear Algebra over Semirings

BOOK CHAPTER published 2002 in A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences

Authors: Kazimierz Głazek

Tropical Complementarity Problems and Nash Equilibria

JOURNAL ARTICLE published 30 September 2023 in SIAM Journal on Discrete Mathematics

Research funded by Agence Nationale de la Recherche (ANR-17-CE40-0018)

Authors: Xavier Allamigeon | Stéphane Gaubert | Frédéric Meunier

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

On the mathematical foundations of classical thermodynamics

OTHER published 2014 in Contemporary Mathematics

Authors: Viktor Maslov

Idempotent Subreducts of Semimodules over Commutative Semirings

JOURNAL ARTICLE published 30 June 2009 in Rendiconti del Seminario Matematico della Università di Padova

Authors: David Stankovský