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Matrix roots in the max-plus algebra

JOURNAL ARTICLE published December 2021 in Linear Algebra and its Applications

Research funded by Engineering and Physical Sciences Research Council (EP/J00829X/1)

Authors: Daniel Jones

Generalized matrix period in max-plus algebra

JOURNAL ARTICLE published July 2005 in Linear Algebra and its Applications

Authors: Monika Molnárová

Interval eigenproblem in max–min algebra

JOURNAL ARTICLE published January 2014 in Linear Algebra and its Applications

Authors: Martin Gavalec | Ján Plavka | Hana Tomášková

Max-plus singular values

JOURNAL ARTICLE published December 2015 in Linear Algebra and its Applications

Research funded by Engineering and Physical Sciences Research Council (EP/I005293)

Authors: James Hook

Linear matrix period in max-plus algebra

JOURNAL ARTICLE published March 2000 in Linear Algebra and its Applications

Authors: Martin Gavalec

Reachability of eigenspaces for interval circulant matrices in max-algebra

JOURNAL ARTICLE published August 2018 in Linear Algebra and its Applications

Research funded by EPSRC (EP/P019676/1)

Authors: Ján Plavka | Sergeĭ Sergeev

Polynomial convolutions in max-plus algebra

JOURNAL ARTICLE published October 2019 in Linear Algebra and its Applications

Authors: Amnon Rosenmann | Franz Lehner | Aljoša Peperko

Independence and orthogonality of algebraic eigenvectors over the max-plus algebra

JOURNAL ARTICLE published 12 February 2024 in Linear and Multilinear Algebra

Research funded by Japan Society for the Promotion of Science (20K14367 and 22K13964)

Authors: Yuki Nishida | Sennosuke Watanabe | Yoshihide Watanabe

Eigenproblem for optimal-node matrices in max-plus algebra

JOURNAL ARTICLE published 3 August 2014 in Linear and Multilinear Algebra

Authors: Hui-li Wang | Xue-ping Wang

A walk on max-plus algebra

JOURNAL ARTICLE published August 2020 in Linear Algebra and its Applications

Research funded by Japan Society for the Promotion of Science and Research Origin for Dressed Photon (19K03616,19K03624)

Authors: Sennosuke Watanabe | Akiko Fukuda | Etsuo Segawa | Iwao Sato

A note on the characteristic equation in the max-plus algebra

JOURNAL ARTICLE published August 1997 in Linear Algebra and its Applications

Authors: B De Schutter

Extremality criteria for the supereigenvector space in max-plus algebra

JOURNAL ARTICLE published November 2022 in Linear Algebra and its Applications

Research funded by National Natural Science Foundation of China (11901486) | Southwest Petroleum University (2017CXTD02)

Authors: Sergeĭ Sergeev | Hui-li Wang

On integer eigenvectors and subeigenvectors in the max-plus algebra

JOURNAL ARTICLE published April 2013 in Linear Algebra and its Applications

Authors: Peter Butkovič | Marie MacCaig

On max-plus two-sided linear systems whose solution sets are min-plus linear

JOURNAL ARTICLE published August 2024 in Linear Algebra and its Applications

Research funded by Japan Society for the Promotion of Science (22K13964)

Authors: Yasutaka Ooga | Yuki Nishida | Yoshihide Watanabe

Weak CSR expansions and transience bounds in max-plus algebra

JOURNAL ARTICLE published November 2014 in Linear Algebra and its Applications

Authors: Glenn Merlet | Thomas Nowak | Sergeĭ Sergeev

Dominant matrices and max algebra

JOURNAL ARTICLE published February 2011 in Linear Algebra and its Applications

Authors: Miroslav Fiedler

Comparison and aggregation of max-plus linear systems

JOURNAL ARTICLE published February 2004 in Linear Algebra and its Applications

Authors: James Ledoux | Laurent Truffet

Max-plus definite matrix closures and their eigenspaces

JOURNAL ARTICLE published March 2007 in Linear Algebra and its Applications

Authors: Sergei˘ Sergeev

The structure of max-plus hyperplanes

JOURNAL ARTICLE published October 2007 in Linear Algebra and its Applications

Authors: V. Nitica | I. Singer

Interval systems of max-separable linear equations

JOURNAL ARTICLE published January 2002 in Linear Algebra and its Applications

Authors: Katarína Cechlárová | R.A. Cuninghame-Green