Tropical linear programming

BOOK CHAPTER published 8 December 2021 in Graduate Studies in Mathematics

Solving linear systems over tropical semirings through normalization method and its applications

JOURNAL ARTICLE published September 2021 in Journal of Algebra and Its Applications

Authors: Fateme Olia | Shaban Ghalandarzadeh | Amirhossein Amiraslani | Sedighe Jamshidvand

Exploring positively invariant sets by linear systems over idempotent semirings

JOURNAL ARTICLE published 1 September 2004 in IMA Journal of Mathematical Control and Information

Authors: L. Truffet

First steps in tropical geometry

OTHER published 2005 in Idempotent Mathematics and Mathematical Physics

Authors: Jürgen Richter-Gebert | Bernd Sturmfels | Thorsten Theobald

Tropical covers of curves and their moduli spaces

JOURNAL ARTICLE published February 2015 in Communications in Contemporary Mathematics

Authors: Arne Buchholz | Hannah Markwig

Linear transformations of tropical matrices preserving the cyclicity index

JOURNAL ARTICLE published 1 January 2021 in Special Matrices

Authors: Alexander Guterman | Elena Kreines | Carsten Thomassen

Linear mappings preserving coincidence of factorized and boundary ranks of matrices over semirings

JOURNAL ARTICLE published December 2008 in Moscow University Mathematics Bulletin

Authors: O. A. Pshenitsyna

A metric on max-min algebra

OTHER published 2014 in Contemporary Mathematics

Authors: Jonathan Eskeldson | Miriam Jaffe | Viorel Nitica

Tropical algebraic geometry

JOURNAL ARTICLE published 1 November 2009 in Hokkaido Mathematical Journal

Authors: Shinsuke ODAGIRI

Integration over Tropical Plane Curves and Ultradiscretization

JOURNAL ARTICLE published 9 August 2009 in International Mathematics Research Notices

Authors: S. Iwao

GLOBAL CONTROLLABILITY OF A NONLINEAR KORTEWEG–DE VRIES EQUATION

JOURNAL ARTICLE published June 2009 in Communications in Contemporary Mathematics

Authors: MARIANNE CHAPOULY

Controlling solutions to a linear differential equation

JOURNAL ARTICLE published June 2009 in Moscow University Mathematics Bulletin

Authors: I. N. Sergeev

Matroids and tropical linear spaces

BOOK CHAPTER published 8 December 2021 in Graduate Studies in Mathematics

Non-surjective linear transformations of tropical matrices preserving the cyclicity index

JOURNAL ARTICLE published 19 January 2023 in Kybernetika

Authors: Alexander Guterman | Elena Kreines | Alexander Vlasov

Optimization on the range of a max-separable operator

OTHER published 2014 in Contemporary Mathematics

Authors: Martin Gavalec | Karel Zimmermann

Idempotent mathematics: a correspondence principle and its applications to computing

JOURNAL ARTICLE published 31 December 1996 in Russian Mathematical Surveys

Authors: G L Litvinov | V P Maslov

Linear Transformations Preserving the Minimal Values of the Cyclicity Index of Tropical Matrices

JOURNAL ARTICLE published May 2024 in Journal of Mathematical Sciences

Authors: A. E. Guterman | E. M. Kreines | A. V. Vlasov

-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

Idempotent matrices over antirings

JOURNAL ARTICLE published August 2009 in Linear Algebra and its Applications

Authors: David Dolžan | Polona Oblak

An overview of transience bounds in max-plus algebra

OTHER published 2014 in Contemporary Mathematics

Authors: Thomas Nowak | Bernadette Charron-Bost