Akian, Marianne; Gaubert, Stephane; Rowen, Louis Semiring systems arising from hyperrings. (English) Zbl 07808734 J. Pure Appl. Algebra 228, No. 6, Article ID 107584, 47 p. (2024). MSC: 06F20 14T10 15A80 16Y20 16Y60 20N20 15A24 PDFBibTeX XMLCite \textit{M. Akian} et al., J. Pure Appl. Algebra 228, No. 6, Article ID 107584, 47 p. (2024; Zbl 07808734) Full Text: DOI arXiv
Tarmidi, Rani Sasmita Note on smoothness condition on tropical elliptic curves of symmetric truncated cubic forms. (English) Zbl 07774146 Math. J. Okayama Univ. 66, 171-187 (2024). MSC: 14T10 14T25 15A80 PDFBibTeX XMLCite \textit{R. S. Tarmidi}, Math. J. Okayama Univ. 66, 171--187 (2024; Zbl 07774146) Full Text: DOI arXiv
Parsons, Jamie; Sergeev, Sergei; Wang, Huili Tropical pseudolinear and pseudoquadratic optimization as parametric mean-payoff games. (English) Zbl 1526.15028 Optimization 72, No. 11, 2793-2822 (2023). MSC: 15A80 14T90 90C26 91A46 PDFBibTeX XMLCite \textit{J. Parsons} et al., Optimization 72, No. 11, 2793--2822 (2023; Zbl 1526.15028) Full Text: DOI arXiv
Myšková, H.; Plavka, J. AE and EA versions of \(\mathbf{X}\)-robustness for interval circulant matrices in max-min algebra. (English) Zbl 07755385 Linear Multilinear Algebra 71, No. 15, 2441-2461 (2023). MSC: 15A80 65G30 PDFBibTeX XMLCite \textit{H. Myšková} and \textit{J. Plavka}, Linear Multilinear Algebra 71, No. 15, 2441--2461 (2023; Zbl 07755385) Full Text: DOI
Kahra, Marvin; Breuß, Michael Properties of morphological dilation in max-plus and plus-prod algebra in connection with the Fourier transformation. (English) Zbl 07730662 J. Math. Imaging Vis. 65, No. 4, 577-591 (2023). MSC: 68U10 15A80 65T50 94A08 PDFBibTeX XMLCite \textit{M. Kahra} and \textit{M. Breuß}, J. Math. Imaging Vis. 65, No. 4, 577--591 (2023; Zbl 07730662) Full Text: DOI
Lins, Brian A unified approach to nonlinear Perron-Frobenius theory. (English) Zbl 07724300 Linear Algebra Appl. 675, 48-89 (2023). MSC: 47J10 47H07 47H09 46T20 15A69 15A80 91A15 PDFBibTeX XMLCite \textit{B. Lins}, Linear Algebra Appl. 675, 48--89 (2023; Zbl 07724300) Full Text: DOI arXiv
Gabrovšek, Boštjan; Peperko, Aljoša; Žerovnik, Janez On the 2-rainbow independent domination numbers of some graphs. (English) Zbl 07722446 CEJOR, Cent. Eur. J. Oper. Res. 31, No. 3, 817-831 (2023). MSC: 90Bxx 05C69 05C15 15A80 05C76 05C85 PDFBibTeX XMLCite \textit{B. Gabrovšek} et al., CEJOR, Cent. Eur. J. Oper. Res. 31, No. 3, 817--831 (2023; Zbl 07722446) Full Text: DOI
Miura, Keiji; Yoshida, Ruriko Plücker coordinates of the best-fit Stiefel tropical linear space to a mixture of Gaussian distributions. (English) Zbl 07711388 Inf. Geom. 6, No. 1, 171-201 (2023). MSC: 14Txx 91Axx 91Bxx PDFBibTeX XMLCite \textit{K. Miura} and \textit{R. Yoshida}, Inf. Geom. 6, No. 1, 171--201 (2023; Zbl 07711388) Full Text: DOI arXiv
Uyttendaele, Jolien; Van Hoeck, Inneke; Besinovic, Nikola; Vansteenwegen, Pieter Timetable compression using max-plus automata applied to large railway networks. (English) Zbl 1518.90017 Top 31, No. 2, 414-439 (2023). MSC: 90B06 PDFBibTeX XMLCite \textit{J. Uyttendaele} et al., Top 31, No. 2, 414--439 (2023; Zbl 1518.90017) Full Text: DOI
Vladeva, Dimitrinka Ivanova Derivations of some classes of additively idempotent semirings. (English) Zbl 07700048 Commun. Algebra 51, No. 8, 3244-3265 (2023). MSC: 16Y60 12H05 15A80 PDFBibTeX XMLCite \textit{D. I. Vladeva}, Commun. Algebra 51, No. 8, 3244--3265 (2023; Zbl 07700048) Full Text: DOI
Deng, Weina; Yu, Baomin Certain congruences on the semiring of normal tropical matrices. (English) Zbl 07683035 Linear Algebra Appl. 668, 110-130 (2023). MSC: 15A80 14T10 16Y60 PDFBibTeX XMLCite \textit{W. Deng} and \textit{B. Yu}, Linear Algebra Appl. 668, 110--130 (2023; Zbl 07683035) Full Text: DOI
Deng, Weina; Yu, Baomin Surjective linear transformations of tropical matrices preserving transitive closures. (English) Zbl 1511.15022 Commun. Algebra 51, No. 5, 2183-2198 (2023). MSC: 15A80 15A86 15A04 14T10 PDFBibTeX XMLCite \textit{W. Deng} and \textit{B. Yu}, Commun. Algebra 51, No. 5, 2183--2198 (2023; Zbl 1511.15022) Full Text: DOI
Bakhadly, B.; Guterman, A.; de la Puente, M. J. Normal tropical \((0,-1)\)-matrices and their orthogonal sets. (English. Russian original) Zbl 1509.15019 J. Math. Sci., New York 269, No. 5, 614-631 (2023); translation from Fundam. Prikl. Mat. 24, No. 1, 5-30 (2022). MSC: 15B10 15A80 05C50 PDFBibTeX XMLCite \textit{B. Bakhadly} et al., J. Math. Sci., New York 269, No. 5, 614--631 (2023; Zbl 1509.15019); translation from Fundam. Prikl. Mat. 24, No. 1, 5--30 (2022) Full Text: DOI
Ahmed, K.; Pal, S.; Mohan, R. Key exchange protocol based upon a modified tropical structure. (English) Zbl 1502.94025 Commun. Algebra 51, No. 1, 214-223 (2023). MSC: 94A60 14T90 15A80 14G50 16Y60 PDFBibTeX XMLCite \textit{K. Ahmed} et al., Commun. Algebra 51, No. 1, 214--223 (2023; Zbl 1502.94025) Full Text: DOI
Shitov, Yaroslav A separation between tropical matrix ranks. (English) Zbl 1503.15037 Proc. Am. Math. Soc. 151, No. 2, 489-499 (2023). MSC: 15A80 14T15 05B20 PDFBibTeX XMLCite \textit{Y. Shitov}, Proc. Am. Math. Soc. 151, No. 2, 489--499 (2023; Zbl 1503.15037) Full Text: DOI arXiv
Akian, Marianne; Gaubert, Stephane; Rowen, Louis Linear algebra over T-pairs. arXiv:2310.05257 Preprint, arXiv:2310.05257 [math.RA] (2023). MSC: 06F20 14T10 15A15 15A24 15A80 16Y60 BibTeX Cite \textit{M. Akian} et al., ``Linear algebra over T-pairs'', Preprint, arXiv:2310.05257 [math.RA] (2023) Full Text: arXiv OA License
Friedenberg, Netanel; Mincheva, Kalina Geometric interpretation of valuated term (pre)orders. arXiv:2306.05538 Preprint, arXiv:2306.05538 [math.AG] (2023). MSC: 14T99 14T10 14T15 14T20 15A80 52B20 16Y60 BibTeX Cite \textit{N. Friedenberg} and \textit{K. Mincheva}, ``Geometric interpretation of valuated term (pre)orders'', Preprint, arXiv:2306.05538 [math.AG] (2023) Full Text: arXiv OA License
Song, JuAe Congruences on tropical rational function semifields and tropical curves. arXiv:2305.04204 Preprint, arXiv:2305.04204 [math.AG] (2023). MSC: 14T10 14T20 15A80 BibTeX Cite \textit{J. Song}, ``Congruences on tropical rational function semifields and tropical curves'', Preprint, arXiv:2305.04204 [math.AG] (2023) Full Text: arXiv OA License
Akian, Marianne; Gaubert, Stephane; Tavakolipour, Hanieh Factorization of polynomials over the symmetrized tropical semiring and Descartes’ rule of sign over ordered valued fields. arXiv:2301.05483 Preprint, arXiv:2301.05483 [math.RA] (2023). MSC: 12J15 12J25 15A80 12D05 16Y60 14T10 06F20 16Y20 BibTeX Cite \textit{M. Akian} et al., ``Factorization of polynomials over the symmetrized tropical semiring and Descartes' rule of sign over ordered valued fields'', Preprint, arXiv:2301.05483 [math.RA] (2023) Full Text: arXiv OA License
Blusseau, Samy; Velasco-Forero, Santiago; Angulo, Jesús; Bloch, Isabelle Morphological adjunctions represented by matrices in max-plus algebra for signal and image processing. (English) Zbl 1522.68685 Baudrier, Étienne (ed.) et al., Discrete geometry and mathematical morphology. Second international joint conference, DGMM 2022, Strasbourg, France, October 24–27, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13493, 206-218 (2022). MSC: 68U10 15A80 68R10 PDFBibTeX XMLCite \textit{S. Blusseau} et al., Lect. Notes Comput. Sci. 13493, 206--218 (2022; Zbl 1522.68685) Full Text: DOI arXiv
Merlet, Glenn; Nowak, Thomas; Sergeev, Sergeĭ On the tightness of bounds for transients of weak CSR expansions and periodicity transients of critical rows and columns of tropical matrix powers. (English) Zbl 1511.15023 Linear Multilinear Algebra 70, No. 19, 4320-4350 (2022). MSC: 15A80 05C50 14T10 PDFBibTeX XMLCite \textit{G. Merlet} et al., Linear Multilinear Algebra 70, No. 19, 4320--4350 (2022; Zbl 1511.15023) Full Text: DOI arXiv
Kennedy-Cochran-Patrick, Arthur; Sergeev, Sergei Extending CSR decomposition to tropical inhomogeneous matrix products. (English) Zbl 1518.15030 Electron. J. Linear Algebra 38, 820-851 (2022). MSC: 15A80 16Y60 05C50 05C20 05C22 05C25 PDFBibTeX XMLCite \textit{A. Kennedy-Cochran-Patrick} and \textit{S. Sergeev}, Electron. J. Linear Algebra 38, 820--851 (2022; Zbl 1518.15030) Full Text: arXiv Link
Krivulin, Nikolai; Sergeev, Sergeĭ Minimizing maximum lateness in two-stage projects by tropical optimization. (English) Zbl 1524.90146 Kybernetika 58, No. 5, 816-841 (2022). Reviewer: Svetlana A. Kravchenko (Minsk) MSC: 90B35 90C24 15A80 90C47 90C05 PDFBibTeX XMLCite \textit{N. Krivulin} and \textit{S. Sergeev}, Kybernetika 58, No. 5, 816--841 (2022; Zbl 1524.90146) Full Text: DOI arXiv
Khaleghzade, Sedighe; Zangiabadi, Mostafa; Peperko, Aljoša; Hajarian, Masoud Interval multi-linear systems for tensors in the max-plus algebra and their application in solving the job shop problem. (English) Zbl 07655856 Kybernetika 58, No. 5, 708-732 (2022). MSC: 15A80 15A06 65G30 15A69 PDFBibTeX XMLCite \textit{S. Khaleghzade} et al., Kybernetika 58, No. 5, 708--732 (2022; Zbl 07655856) Full Text: DOI
JuAe, Song Rational function semifields of tropical curves are finitely generated over the tropical semifield. (English) Zbl 1504.14106 Int. J. Algebra Comput. 32, No. 8, 1575-1594 (2022). MSC: 14T10 14T20 15A80 12K10 PDFBibTeX XMLCite \textit{S. JuAe}, Int. J. Algebra Comput. 32, No. 8, 1575--1594 (2022; Zbl 1504.14106) Full Text: DOI
Suroto; Palupi, Diah Junia Eksi; Suparwanto, Ari Characterization of rank of a matrix over the symmetrized max-plus algebra. (English) Zbl 1513.15050 Jordan J. Math. Stat. 15, No. 4A, 843-856 (2022). MSC: 15A80 15A03 PDFBibTeX XMLCite \textit{Suroto} et al., Jordan J. Math. Stat. 15, No. 4A, 843--856 (2022; Zbl 1513.15050)
Izhakian, Zur; Knebusch, Manfred Cauchy-Schwarz functions and convex partitions in the ray space of a supertropical quadratic form. (English) Zbl 1509.16051 Linear Multilinear Algebra 70, No. 20, 5502-5546 (2022). MSC: 16Y60 14T10 15A80 20M18 PDFBibTeX XMLCite \textit{Z. Izhakian} and \textit{M. Knebusch}, Linear Multilinear Algebra 70, No. 20, 5502--5546 (2022; Zbl 1509.16051) Full Text: DOI arXiv
Chen, Yanhua; Hayat, Khizar; Qiu, Limin; Wang, Zhining; Yang, Xiaobin Some properties on the max-plus inequalities system. (English) Zbl 1502.15018 J. Nonlinear Convex Anal. 23, No. 10, 2237-2250 (2022). MSC: 15A80 15A45 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Nonlinear Convex Anal. 23, No. 10, 2237--2250 (2022; Zbl 1502.15018) Full Text: Link
Myšková, Helena; Plavka, Ján Max-plus steady states in discrete event dynamic systems with inexact data. (English) Zbl 1500.93070 Discrete Event Dyn. Syst. 32, No. 3, 521-538 (2022). MSC: 93C65 93B25 15A80 PDFBibTeX XMLCite \textit{H. Myšková} and \textit{J. Plavka}, Discrete Event Dyn. Syst. 32, No. 3, 521--538 (2022; Zbl 1500.93070) Full Text: DOI
Izhakian, Zur; Merlet, Glenn Semigroup identities of supertropical matrices. (English) Zbl 1516.14111 Semigroup Forum 105, No. 2, 466-477 (2022). Reviewer: Ngoc Mai Tran (Bonn) MSC: 14T10 15A80 PDFBibTeX XMLCite \textit{Z. Izhakian} and \textit{G. Merlet}, Semigroup Forum 105, No. 2, 466--477 (2022; Zbl 1516.14111) Full Text: DOI arXiv
Sergeev, Sergeĭ; Wang, Hui-li Extremality criteria for the supereigenvector space in max-plus algebra. (English) Zbl 07593885 Linear Algebra Appl. 653, 116-134 (2022). MSC: 15A80 15A39 05C50 05C20 PDFBibTeX XMLCite \textit{S. Sergeev} and \textit{H.-l. Wang}, Linear Algebra Appl. 653, 116--134 (2022; Zbl 07593885) Full Text: DOI arXiv
Rosenmann, Amnon Computing the sequence of \(k\)-cardinality assignments. (English) Zbl 1493.90113 J. Comb. Optim. 44, No. 2, 1265-1283 (2022). MSC: 90C10 15A80 15A15 PDFBibTeX XMLCite \textit{A. Rosenmann}, J. Comb. Optim. 44, No. 2, 1265--1283 (2022; Zbl 1493.90113) Full Text: DOI arXiv
Muanalifah, Any; Sergeev, Sergeĭ On the tropical discrete logarithm problem and security of a protocol based on tropical semidirect product. (English) Zbl 1491.15030 Commun. Algebra 50, No. 2, 861-879 (2022). MSC: 15A80 15A23 94A60 14T90 14T10 PDFBibTeX XMLCite \textit{A. Muanalifah} and \textit{S. Sergeev}, Commun. Algebra 50, No. 2, 861--879 (2022; Zbl 1491.15030) Full Text: DOI arXiv
Zorzenon, Davide; Komenda, Jan; Raisch, Jörg The non-positive circuit weight problem in parametric graphs: a solution based on dioid theory. (English) Zbl 1491.90177 Discrete Appl. Math. 315, 56-70 (2022). MSC: 90C35 PDFBibTeX XMLCite \textit{D. Zorzenon} et al., Discrete Appl. Math. 315, 56--70 (2022; Zbl 1491.90177) Full Text: DOI arXiv
Stamenković, Aleksandar; Ćirić, Miroslav; Djurdjanović, Dragan Weakly linear systems for matrices over the max-plus quantale. (English) Zbl 1489.93042 Discrete Event Dyn. Syst. 32, No. 1, 1-25 (2022). MSC: 93C05 15A80 PDFBibTeX XMLCite \textit{A. Stamenković} et al., Discrete Event Dyn. Syst. 32, No. 1, 1--25 (2022; Zbl 1489.93042) Full Text: DOI
Nishida, Yuki; Yamada, Akira; Watanabe, Yoshihide Characterization of tropical projective quadratic plane curves in terms of the eigenvalue problem. (English) Zbl 1493.14105 Linear Algebra Appl. 644, 172-191 (2022). MSC: 14T10 15A18 15A80 PDFBibTeX XMLCite \textit{Y. Nishida} et al., Linear Algebra Appl. 644, 172--191 (2022; Zbl 1493.14105) Full Text: DOI
Xia, Chao; Wang, Xi Tropical Vandermonde matrices. (English) Zbl 1487.15034 Linear Multilinear Algebra 70, No. 2, 238-249 (2022). MSC: 15A80 15A03 14T10 PDFBibTeX XMLCite \textit{C. Xia} and \textit{X. Wang}, Linear Multilinear Algebra 70, No. 2, 238--249 (2022; Zbl 1487.15034) Full Text: DOI
Khaleghzade, Sedighe; Zangiabadi, Mostafa; Peperko, Aljoša; Hajarian, Masoud Perron-Frobenius theory for some classes of nonnegative tensors in the max algebra. (English) Zbl 1484.15031 Linear Algebra Appl. 641, 115-142 (2022). MSC: 15A69 15A18 15A80 65F10 PDFBibTeX XMLCite \textit{S. Khaleghzade} et al., Linear Algebra Appl. 641, 115--142 (2022; Zbl 1484.15031) Full Text: DOI
Deng, Weina; Zhao, Xianzhong; Cheng, Yanliang; Yu, Baomin On the groups associated with a tropical \(n\times n\) matrix. (English) Zbl 1514.15040 Linear Algebra Appl. 639, 1-17 (2022). MSC: 15A80 14T10 PDFBibTeX XMLCite \textit{W. Deng} et al., Linear Algebra Appl. 639, 1--17 (2022; Zbl 1514.15040) Full Text: DOI
Himrane, Ouail; Ourghanlian, Alain; Amari, Saïd Response time evaluation of industrial-scale distributed control systems by discrete event systems formalisms. (English) Zbl 1482.93381 Int. J. Control 95, No. 2, 419-431 (2022). MSC: 93C65 93B70 93B25 15A80 PDFBibTeX XMLCite \textit{O. Himrane} et al., Int. J. Control 95, No. 2, 419--431 (2022; Zbl 1482.93381) Full Text: DOI
Manjegani, S. M.; Peperko, A.; Shokooh Saljooghi, H. Asymptotic formulae and inequalities for point spectrum in max algebra. (English) Zbl 1478.15039 Linear Algebra Appl. 634, 112-136 (2022). MSC: 15A80 15A18 15A42 15A60 PDFBibTeX XMLCite \textit{S. M. Manjegani} et al., Linear Algebra Appl. 634, 112--136 (2022; Zbl 1478.15039) Full Text: DOI arXiv
Dokuchaev, Mikhailo; Mandel, Arnaldo; Plakhotnyk, Makar The cone of quasi-semimetrics and exponent matrices of tiled orders. (English) Zbl 1493.05132 Discrete Math. 345, No. 1, Article ID 112665, 11 p. (2022). MSC: 05C20 05C22 52B20 PDFBibTeX XMLCite \textit{M. Dokuchaev} et al., Discrete Math. 345, No. 1, Article ID 112665, 11 p. (2022; Zbl 1493.05132) Full Text: DOI arXiv
Friedenberg, Netanel; Mincheva, Kalina Tropical adic spaces I: The continuous spectrum of a topological semiring. arXiv:2209.15116 Preprint, arXiv:2209.15116 [math.AG] (2022). MSC: 14T10 15A80 12K10 16Y60 06F30 BibTeX Cite \textit{N. Friedenberg} and \textit{K. Mincheva}, ``Tropical adic spaces I: The continuous spectrum of a topological semiring'', Preprint, arXiv:2209.15116 [math.AG] (2022) Full Text: arXiv OA License
Ito, Takaaki Local theory of functions on tropical curves in \(\mathbb R^n\). arXiv:2204.02599 Preprint, arXiv:2204.02599 [math.AG] (2022). MSC: 14T10 15A80 16Y60 BibTeX Cite \textit{T. Ito}, ``Local theory of functions on tropical curves in $\mathbb R^n$'', Preprint, arXiv:2204.02599 [math.AG] (2022) Full Text: arXiv OA License
Watanabe, Sennosuke; Fukuda, Akiko; Segawa, Etsuo; Sato, Iwao Limit theorem of the max-plus walk. (English) Zbl 1502.15019 RIMS Kôkyûroku Bessatsu B87, 125-133 (2021). MSC: 15A80 05C81 05C50 PDFBibTeX XMLCite \textit{S. Watanabe} et al., RIMS Kôkyûroku Bessatsu B87, 125--133 (2021; Zbl 1502.15019) Full Text: Link
Siswanto; Gusmizain, A.; Wibowo, S. Determinant of a matrix over min-plus algebra. (English) Zbl 1483.15020 J. Discrete Math. Sci. Cryptography 24, No. 6, 1829-1835 (2021). MSC: 15A80 15A15 PDFBibTeX XMLCite \textit{Siswanto} et al., J. Discrete Math. Sci. Cryptography 24, No. 6, 1829--1835 (2021; Zbl 1483.15020) Full Text: DOI
Siswanto; Nurhayati, N.; Pangadi Cayley-Hamilton theorem in the min-plus algebra. (English) Zbl 1483.15022 J. Discrete Math. Sci. Cryptography 24, No. 6, 1821-1828 (2021). MSC: 15A80 47A56 PDFBibTeX XMLCite \textit{Siswanto} et al., J. Discrete Math. Sci. Cryptography 24, No. 6, 1821--1828 (2021; Zbl 1483.15022) Full Text: DOI
Gazda, Matej; Plavka, Ján Controllable and tolerable generalized eigenvectors of interval max-plus matrices. (English) Zbl 1513.15049 Kybernetika 57, No. 6, 922-938 (2021). Reviewer: John D. Dixon (Ottawa) MSC: 15A80 15A18 05C50 PDFBibTeX XMLCite \textit{M. Gazda} and \textit{J. Plavka}, Kybernetika 57, No. 6, 922--938 (2021; Zbl 1513.15049) Full Text: DOI
Myšková, Helena; Plavka, Ján Strong \(\boldsymbol{X}\)-robustness of interval max-min matrices. (English) Zbl 1499.15092 Kybernetika 57, No. 4, 594-612 (2021). MSC: 15A80 15A18 93C55 PDFBibTeX XMLCite \textit{H. Myšková} and \textit{J. Plavka}, Kybernetika 57, No. 4, 594--612 (2021; Zbl 1499.15092) Full Text: DOI
Li, Pingke Solving the sensor cover energy problem via integer linear programming. (English) Zbl 1499.90186 Kybernetika 57, No. 4, 568-593 (2021). MSC: 90C27 90C05 90C10 15A80 52C15 PDFBibTeX XMLCite \textit{P. Li}, Kybernetika 57, No. 4, 568--593 (2021; Zbl 1499.90186) Full Text: DOI
Špaček, Pavel; Komenda, Jan; Lahaye, Sébastien Analysis of P-time event graphs in (max,+) and (min,+) semirings. (English) Zbl 1483.93407 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 52, No. 4, 694-709 (2021). MSC: 93C65 93B25 15A80 PDFBibTeX XMLCite \textit{P. Špaček} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 52, No. 4, 694--709 (2021; Zbl 1483.93407) Full Text: DOI arXiv
Tsilivis, Nikos; Tsiamis, Anastasios; Maragos, Petros Sparse approximate solutions to max-plus equations. (English) Zbl 1484.15033 Lindblad, Joakim (ed.) et al., Discrete geometry and mathematical morphology. First international joint conference, DGMM 2021, Uppsala, Sweden, May 24–27, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12708, 538-550 (2021). MSC: 15A80 68T05 68U10 68W25 90C90 PDFBibTeX XMLCite \textit{N. Tsilivis} et al., Lect. Notes Comput. Sci. 12708, 538--550 (2021; Zbl 1484.15033) Full Text: DOI
Guterman, Alexander; Kreines, Elena; Thomassen, Carsten Linear transformations of tropical matrices preserving the cyclicity index. (English) Zbl 1476.05116 Spec. Matrices 9, 112-118 (2021). MSC: 05C50 05C38 15A80 PDFBibTeX XMLCite \textit{A. Guterman} et al., Spec. Matrices 9, 112--118 (2021; Zbl 1476.05116) Full Text: DOI
Nishida, Yuki; Sato, Kohei; Watanabe, Sennosuke A min-plus analogue of the Jordan canonical form associated with the basis of the generalized eigenspace. (English) Zbl 1483.15019 Linear Multilinear Algebra 69, No. 15, 2933-2943 (2021). Reviewer: Xiangqian Guo (Waterloo) MSC: 15A80 15A20 15A21 15A18 14T10 05C20 05C50 PDFBibTeX XMLCite \textit{Y. Nishida} et al., Linear Multilinear Algebra 69, No. 15, 2933--2943 (2021; Zbl 1483.15019) Full Text: DOI
Gonçalves, Vinicius Mariano Max-plus approximation for reinforcement learning. (English) Zbl 07429755 Automatica 129, Article ID 109623, 9 p. (2021). MSC: 68Txx PDFBibTeX XMLCite \textit{V. M. Gonçalves}, Automatica 129, Article ID 109623, 9 p. (2021; Zbl 07429755) Full Text: DOI
Farhi, Nadir A discrete-event model of the train traffic on a linear metro line. (English) Zbl 1481.90115 Appl. Math. Modelling 96, 523-544 (2021). MSC: 90B20 15A80 93C65 PDFBibTeX XMLCite \textit{N. Farhi}, Appl. Math. Modelling 96, 523--544 (2021; Zbl 1481.90115) Full Text: DOI
Wang, Cailu; Tao, Yuegang Matrix representation of formal polynomials over max-plus algebra. (English) Zbl 1481.15029 J. Algebra Appl. 20, No. 11, Article ID 2150216, 27 p. (2021). Reviewer: P. Shakila Banu (Erode) MSC: 15A80 15A23 15A21 12D05 PDFBibTeX XMLCite \textit{C. Wang} and \textit{Y. Tao}, J. Algebra Appl. 20, No. 11, Article ID 2150216, 27 p. (2021; Zbl 1481.15029) Full Text: DOI
Jones, Daniel Matrix roots in the max-plus algebra. (English) Zbl 1477.15024 Linear Algebra Appl. 631, 10-34 (2021). Reviewer: Luyining Gan (Reno) MSC: 15A80 15A16 PDFBibTeX XMLCite \textit{D. Jones}, Linear Algebra Appl. 631, 10--34 (2021; Zbl 1477.15024) Full Text: DOI
Ramos, Guilherme; Pequito, Sérgio; Caleiro, Carlos On the index of convergence of a class of Boolean matrices with structural properties. (English) Zbl 1472.93082 Int. J. Control 94, No. 6, 1475-1483 (2021). MSC: 93C29 93B25 15B34 05C20 PDFBibTeX XMLCite \textit{G. Ramos} et al., Int. J. Control 94, No. 6, 1475--1483 (2021; Zbl 1472.93082) Full Text: DOI
Datti, AbdulKadir; Aminu, Abdulhadi A uniform synchronization problem over max-plus algebra. (English) Zbl 1488.15049 Afr. Mat. 32, No. 3-4, 567-576 (2021). MSC: 15A80 15A69 15A24 PDFBibTeX XMLCite \textit{A. Datti} and \textit{A. Aminu}, Afr. Mat. 32, No. 3--4, 567--576 (2021; Zbl 1488.15049) Full Text: DOI
Han, Bin Bin; Zhang, Wen Ting; Luo, Yan Feng Equational theories of upper triangular tropical matrix semigroups. (English) Zbl 1496.14062 Algebra Univers. 82, No. 3, Paper No. 44, 21 p. (2021). Reviewer: Ngoc Mai Tran (Bonn) MSC: 14T10 20M07 15A80 PDFBibTeX XMLCite \textit{B. B. Han} et al., Algebra Univers. 82, No. 3, Paper No. 44, 21 p. (2021; Zbl 1496.14062) Full Text: DOI
Gavalec, Martin; Němcová, Zuzana; Sergeev, Sergeĭ \((K,L)\)-eigenvectors in max-min algebra. (English) Zbl 1464.15039 Fuzzy Sets Syst. 410, 75-89 (2021). MSC: 15A80 15A18 15B15 PDFBibTeX XMLCite \textit{M. Gavalec} et al., Fuzzy Sets Syst. 410, 75--89 (2021; Zbl 1464.15039) Full Text: DOI arXiv
Gavalec, M.; Plavka, J.; Ponce, D. Tolerance and weak tolerance of interval eigenvectors in fuzzy algebra. (English) Zbl 1464.15040 Fuzzy Sets Syst. 410, 60-74 (2021). MSC: 15A80 15B15 15A18 PDFBibTeX XMLCite \textit{M. Gavalec} et al., Fuzzy Sets Syst. 410, 60--74 (2021; Zbl 1464.15040) Full Text: DOI
Myšková, H.; Plavka, J. AE and EA robustness of interval circulant matrices in max-product algebra. (English) Zbl 1464.15041 Fuzzy Sets Syst. 410, 45-59 (2021). MSC: 15A80 15B15 PDFBibTeX XMLCite \textit{H. Myšková} and \textit{J. Plavka}, Fuzzy Sets Syst. 410, 45--59 (2021; Zbl 1464.15041) Full Text: DOI
Rudy, Dylan; Monico, Chris Remarks on a tropical key exchange system. (English) Zbl 1466.94036 J. Math. Cryptol. 15, 280-283 (2021). MSC: 94A60 14T10 15A80 PDFBibTeX XMLCite \textit{D. Rudy} and \textit{C. Monico}, J. Math. Cryptol. 15, 280--283 (2021; Zbl 1466.94036) Full Text: DOI arXiv
Grigoriev, Dima; Vorobjov, Nicolai Complexity of deciding whether a tropical linear prevariety is a tropical variety. (English) Zbl 1462.14059 Appl. Algebra Eng. Commun. Comput. 32, No. 2, 157-174 (2021). MSC: 14Q20 13P10 15A80 14T10 68Q25 PDFBibTeX XMLCite \textit{D. Grigoriev} and \textit{N. Vorobjov}, Appl. Algebra Eng. Commun. Comput. 32, No. 2, 157--174 (2021; Zbl 1462.14059) Full Text: DOI arXiv
Xie, Yangxinyu On \(2 \times 2\) tropical commuting matrices. (English) Zbl 1467.15012 Linear Algebra Appl. 620, 92-108 (2021). Reviewer: Leila Khatami (Schenectady) MSC: 15A27 15A80 14T10 PDFBibTeX XMLCite \textit{Y. Xie}, Linear Algebra Appl. 620, 92--108 (2021; Zbl 1467.15012) Full Text: DOI arXiv
Kennedy-Cochran-Patrick, Arthur; Merlet, Glenn; Nowak, Thomas; Sergeev, Sergeĭ New bounds on the periodicity transient of the powers of a tropical matrix: using cyclicity and factor rank. (English) Zbl 1458.15046 Linear Algebra Appl. 611, 279-309 (2021). MSC: 15A80 15A45 15A23 14T10 05C50 PDFBibTeX XMLCite \textit{A. Kennedy-Cochran-Patrick} et al., Linear Algebra Appl. 611, 279--309 (2021; Zbl 1458.15046) Full Text: DOI arXiv
Allamigeon, Xavier; Benchimol, Pascal; Gaubert, Stéphane; Joswig, Michael What tropical geometry tells us about the complexity of linear programming. (English) Zbl 1459.90124 SIAM Rev. 63, No. 1, 123-164 (2021). MSC: 90C05 90C51 90C24 14T10 PDFBibTeX XMLCite \textit{X. Allamigeon} et al., SIAM Rev. 63, No. 1, 123--164 (2021; Zbl 1459.90124) Full Text: DOI
Kališnik, Sara; Lešnik, Davorin Symmetric polynomials in upper-bound semirings. (English) Zbl 1506.15029 J. Symb. Comput. 103, 280-299 (2021). MSC: 15A80 14T10 05E05 PDFBibTeX XMLCite \textit{S. Kališnik} and \textit{D. Lešnik}, J. Symb. Comput. 103, 280--299 (2021; Zbl 1506.15029) Full Text: DOI arXiv
Patel, Ebrahim L. The impact of alphabet size on pattern complexity of maxmin-\( \omega\) cellular automata. (English) Zbl 07802749 Nat. Comput. 19, No. 2, 273-285 (2020). MSC: 37B15 15A80 68Q80 PDFBibTeX XMLCite \textit{E. L. Patel}, Nat. Comput. 19, No. 2, 273--285 (2020; Zbl 07802749) Full Text: DOI
Wang, Hui-li; Yang, Yan; Wang, Xue-ping An improved algorithm for finding the generators of the solution space for \(A\otimes \mathbf{x}\ge \mathbf{x} \). (English) Zbl 1490.15038 Soft Comput. 24, No. 13, 9383-9390 (2020). MSC: 15A80 15A39 PDFBibTeX XMLCite \textit{H.-l. Wang} et al., Soft Comput. 24, No. 13, 9383--9390 (2020; Zbl 1490.15038) Full Text: DOI
Alqahtani, Mesfer; Özel, Cenap; Zekraoui, Hanifa Construction of some symmetrized omega algebras. (English) Zbl 1499.15090 JP J. Algebra Number Theory Appl. 47, No. 2, 157-180 (2020). MSC: 15A80 16Y60 54F15 PDFBibTeX XMLCite \textit{M. Alqahtani} et al., JP J. Algebra Number Theory Appl. 47, No. 2, 157--180 (2020; Zbl 1499.15090) Full Text: DOI
Siswanto; Kurniawan, Vika Yugi; Pangadi; Santoso, B. W. Closure of the simple image set of linear mapping interval max-plus. (English) Zbl 1483.15021 J. Discrete Math. Sci. Cryptography 23, No. 7, 1465-1473 (2020). MSC: 15A80 PDFBibTeX XMLCite \textit{Siswanto} et al., J. Discrete Math. Sci. Cryptography 23, No. 7, 1465--1473 (2020; Zbl 1483.15021) Full Text: DOI
Ait Oumeziane, F.; Kara, R.; Amari, S. Formal analysis and control of timed automata with guards using (max, +) and (min, +) algebras. (English) Zbl 1483.93378 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 51, No. 11, 2041-2056 (2020). MSC: 93C65 93B25 15A80 PDFBibTeX XMLCite \textit{F. Ait Oumeziane} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 51, No. 11, 2041--2056 (2020; Zbl 1483.93378) Full Text: DOI
Myšková, H.; Plavka, J. AE and EA robustness of interval circulant matrices in max-min algebra. (English) Zbl 1465.15038 Fuzzy Sets Syst. 384, 91-104 (2020). MSC: 15B15 15A80 PDFBibTeX XMLCite \textit{H. Myšková} and \textit{J. Plavka}, Fuzzy Sets Syst. 384, 91--104 (2020; Zbl 1465.15038) Full Text: DOI
Friedland, Shmuel; Gaubert, Stéphane Spectral inequalities for nonnegative tensors and their tropical analogues. (English) Zbl 1481.15018 Vietnam J. Math. 48, No. 4, 893-928 (2020). Reviewer: Martín Argerami (Regina) MSC: 15A42 15A69 15A80 91A15 PDFBibTeX XMLCite \textit{S. Friedland} and \textit{S. Gaubert}, Vietnam J. Math. 48, No. 4, 893--928 (2020; Zbl 1481.15018) Full Text: DOI arXiv
Izhakian, Zur; Knebusch, Manfred Quasilinear convexity and quasilinear stars in the ray space of a supertropical quadratic form. (English) Zbl 1468.16058 Linear Multilinear Algebra 68, No. 12, 2347-2389 (2020). MSC: 16Y60 15A80 20M18 14T10 PDFBibTeX XMLCite \textit{Z. Izhakian} and \textit{M. Knebusch}, Linear Multilinear Algebra 68, No. 12, 2347--2389 (2020; Zbl 1468.16058) Full Text: DOI arXiv
Witczak, Marcin; Majdzik, Paweł; Stetter, Ralf; Bocewicz, Grzegorz Interval max-plus fault-tolerant control under resource conflicts and redundancies: application to the seat assembly. (English) Zbl 1454.93067 Int. J. Control 93, No. 11, 2662-2674 (2020). MSC: 93B45 93B25 93B35 93C95 PDFBibTeX XMLCite \textit{M. Witczak} et al., Int. J. Control 93, No. 11, 2662--2674 (2020; Zbl 1454.93067) Full Text: DOI
Tavakolipour, Hanieh; Shakeri, Fatemeh Asymptotics of the eigenvalues for exponentially parameterized pentadiagonal matrices. (English) Zbl 07286037 Numer. Linear Algebra Appl. 27, No. 6, e2330, 30 p. (2020). MSC: 15A18 15A80 PDFBibTeX XMLCite \textit{H. Tavakolipour} and \textit{F. Shakeri}, Numer. Linear Algebra Appl. 27, No. 6, e2330, 30 p. (2020; Zbl 07286037) Full Text: DOI
Nishida, Yuki; Watanabe, Sennosuke; Watanabe, Yoshihide On the vectors associated with the roots of max-plus characteristic polynomials. (English) Zbl 07285957 Appl. Math., Praha 65, No. 6, 785-805 (2020). MSC: 15A18 15A80 PDFBibTeX XMLCite \textit{Y. Nishida} et al., Appl. Math., Praha 65, No. 6, 785--805 (2020; Zbl 07285957) Full Text: DOI
Muanalifah, Any; Sergeev, Sergei Modifying the tropical version of Stickel’s key exchange protocol. (English) Zbl 07285954 Appl. Math., Praha 65, No. 6, 727-753 (2020). MSC: 15A80 94A60 PDFBibTeX XMLCite \textit{A. Muanalifah} and \textit{S. Sergeev}, Appl. Math., Praha 65, No. 6, 727--753 (2020; Zbl 07285954) Full Text: DOI
de la Puente, M. J. Quasi-Euclidean classification of alcoved convex polyhedra. (English) Zbl 1451.52007 Linear Multilinear Algebra 68, No. 10, 2110-2142 (2020). MSC: 52B10 52B12 15A80 14T90 PDFBibTeX XMLCite \textit{M. J. de la Puente}, Linear Multilinear Algebra 68, No. 10, 2110--2142 (2020; Zbl 1451.52007) Full Text: DOI arXiv
Alqahtani, Mesfer; Özel, Cenap; Zekraoui, Hanifa Topological distances and geometry over the symmetrized omega algebra. (English) Zbl 1452.15015 Appl. Gen. Topol. 21, No. 2, 247-264 (2020). MSC: 15A80 54F65 54H13 54E35 54F50 16Y60 PDFBibTeX XMLCite \textit{M. Alqahtani} et al., Appl. Gen. Topol. 21, No. 2, 247--264 (2020; Zbl 1452.15015) Full Text: Link
Cicirelli, Franco; Giordano, Andrea; Mastroianni, Carlo Improving efficiency in parallel computing leveraging local synchronization. (English) Zbl 07249931 Sergeyev, Yaroslav D. (ed.) et al., Numerical computations: theory and algorithms. Third international conference, NUMTA 2019, Crotone, Italy, June 15–21, 2019. Revised selected papers. Part I. Cham: Springer. Lect. Notes Comput. Sci. 11973, 232-242 (2020). MSC: 65-XX PDFBibTeX XMLCite \textit{F. Cicirelli} et al., Lect. Notes Comput. Sci. 11973, 232--242 (2020; Zbl 07249931) Full Text: DOI
Kubo, Susumu; Nishinari, Katsuhiro An algebraic expression of the number partitioning problem. (English) Zbl 1460.05018 Discrete Appl. Math. 285, 283-296 (2020). MSC: 05A17 11P81 15B57 16Y60 PDFBibTeX XMLCite \textit{S. Kubo} and \textit{K. Nishinari}, Discrete Appl. Math. 285, 283--296 (2020; Zbl 1460.05018) Full Text: DOI
Thaghizadeh, D.; Zahraei, M.; Peperko, Aljosa; Aboutalebi, N. Haj On the numerical ranges of matrices in max algebra. (English) Zbl 1461.15027 Banach J. Math. Anal. 14, No. 4, 1773-1792 (2020). MSC: 15A60 15A80 47A12 14T10 PDFBibTeX XMLCite \textit{D. Thaghizadeh} et al., Banach J. Math. Anal. 14, No. 4, 1773--1792 (2020; Zbl 1461.15027) Full Text: DOI
Nadtochiy, Sergey; Shkolnikov, Mykhaylo Mean field systems on networks, with singular interaction through hitting times. (English) Zbl 1448.82032 Ann. Probab. 48, No. 3, 1520-1556 (2020). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 82C22 05C57 54H25 92C20 PDFBibTeX XMLCite \textit{S. Nadtochiy} and \textit{M. Shkolnikov}, Ann. Probab. 48, No. 3, 1520--1556 (2020; Zbl 1448.82032) Full Text: DOI arXiv Euclid
Dubey, Dipti; Neogy, S. K.; Sinha, Sagnik Max plus algebra, optimization and game theory. (English) Zbl 1454.15019 Roy, Priti Kumar (ed.) et al., Mathematical analysis and applications in modeling. Selected papers presented at the international conference, ICMAAM 2018, Kolkata, India, January 9–12, 2018. Singapore: Springer. Springer Proc. Math. Stat. 302, 345-361 (2020). MSC: 15A80 90C05 90C20 90C25 90C32 91A15 PDFBibTeX XMLCite \textit{D. Dubey} et al., Springer Proc. Math. Stat. 302, 345--361 (2020; Zbl 1454.15019) Full Text: DOI
Myšková, Helena; Plavka, Ján Interval robustness of (interval) max-plus matrices. (English) Zbl 1447.15026 Discrete Appl. Math. 284, 8-19 (2020). MSC: 15A80 05C50 05C20 PDFBibTeX XMLCite \textit{H. Myšková} and \textit{J. Plavka}, Discrete Appl. Math. 284, 8--19 (2020; Zbl 1447.15026) Full Text: DOI
Nishida, Yuki; Watanabe, Sennosuke; Watanabe, Yoshihide A characterization of bases of tropical kernels in terms of Cramer’s rule. (English) Zbl 1442.15047 Linear Algebra Appl. 601, 301-310 (2020). MSC: 15A80 14T10 PDFBibTeX XMLCite \textit{Y. Nishida} et al., Linear Algebra Appl. 601, 301--310 (2020; Zbl 1442.15047) Full Text: DOI
Maclagan, Diane; Rincón, Felipe Tropical ideals. (English. French summary) Zbl 1440.14278 Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4–8, 2016. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Math. Theor. Comput. Sci., Proc., 803-814 (2020). MSC: 14T10 15A80 16Y60 PDFBibTeX XMLCite \textit{D. Maclagan} and \textit{F. Rincón}, in: Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4--8, 2016. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 803--814 (2020; Zbl 1440.14278) Full Text: Link
Lahaye, Sébastien; Lai, Aiwen; Komenda, Jan; Boimond, Jean-Louis A contribution to the determinization of max-plus automata. (English) Zbl 1435.68177 Discrete Event Dyn. Syst. 30, No. 1, 155-174 (2020). MSC: 68Q45 PDFBibTeX XMLCite \textit{S. Lahaye} et al., Discrete Event Dyn. Syst. 30, No. 1, 155--174 (2020; Zbl 1435.68177) Full Text: DOI
De Schutter, Bart; van den Boom, Ton; Xu, Jia; Farahani, Samira S. Analysis and control of max-plus linear discrete-event systems: an introduction. (English) Zbl 1441.93174 Discrete Event Dyn. Syst. 30, No. 1, 25-54 (2020). MSC: 93C65 93B45 93C05 PDFBibTeX XMLCite \textit{B. De Schutter} et al., Discrete Event Dyn. Syst. 30, No. 1, 25--54 (2020; Zbl 1441.93174) Full Text: DOI
Bakhadly, Bakhad; Guterman, Alexander; de la Puente, María Jesús Orthogonality for \((0, -1)\) tropical normal matrices. (English) Zbl 1437.15039 Spec. Matrices 8, 40-60 (2020). MSC: 15B33 15A80 14T10 PDFBibTeX XMLCite \textit{B. Bakhadly} et al., Spec. Matrices 8, 40--60 (2020; Zbl 1437.15039) Full Text: DOI arXiv
Watanabe, Sennosuke; Fukuda, Akiko; Segawa, Etsuo; Sato, Iwao A walk on max-plus algebra. (English) Zbl 1437.05152 Linear Algebra Appl. 598, 29-48 (2020). MSC: 05C50 05C81 05C20 14T99 16Y60 PDFBibTeX XMLCite \textit{S. Watanabe} et al., Linear Algebra Appl. 598, 29--48 (2020; Zbl 1437.05152) Full Text: DOI arXiv
Myšková, Helena; Plavka, Ján On the solvability of interval max-min matrix equations. (English) Zbl 1459.15019 Linear Algebra Appl. 590, 85-96 (2020). Reviewer: Mehdi Mohammadzadeh Karizaki (Torbat Heydarieh) MSC: 15A24 15A29 15A80 PDFBibTeX XMLCite \textit{H. Myšková} and \textit{J. Plavka}, Linear Algebra Appl. 590, 85--96 (2020; Zbl 1459.15019) Full Text: DOI
Gaubert, Stéphane; Niv, Adi Tropical planar networks. (English) Zbl 1434.15014 Linear Algebra Appl. 595, 123-144 (2020). MSC: 15A80 15A15 15A18 14T10 05C82 PDFBibTeX XMLCite \textit{S. Gaubert} and \textit{A. Niv}, Linear Algebra Appl. 595, 123--144 (2020; Zbl 1434.15014) Full Text: DOI arXiv
Niv, Adi; MacCaig, Marie; Sergeev, Sergeĭ Optimal assignments with supervisions. (English) Zbl 1436.05042 Linear Algebra Appl. 595, 72-100 (2020). MSC: 05C17 05C22 05C38 05C50 05E14 15A15 15A24 15A80 90B80 14T99 PDFBibTeX XMLCite \textit{A. Niv} et al., Linear Algebra Appl. 595, 72--100 (2020; Zbl 1436.05042) Full Text: DOI arXiv
Žužek, Tena; Peperko, Aljoša; Kušar, Janez A max-plus algebra approach for generating non-delay schedule. (English) Zbl 1456.90083 Croat. Oper. Res. Rev. (CRORR) 10, No. 1, 35-44 (2019). MSC: 90B35 15A80 PDFBibTeX XMLCite \textit{T. Žužek} et al., Croat. Oper. Res. Rev. (CRORR) 10, No. 1, 35--44 (2019; Zbl 1456.90083) Full Text: DOI