Kan, Masafumi; Fukuda, Akiko; Watanabe, Sennosuke Ultradiscrete hungry Toda equation and eigenvalues over min-plus algebra. (English) Zbl 07820961 J. Difference Equ. Appl. 30, No. 2, 233-251 (2024). MSC: 39A36 15A80 37J70 PDFBibTeX XMLCite \textit{M. Kan} et al., J. Difference Equ. Appl. 30, No. 2, 233--251 (2024; Zbl 07820961) Full Text: DOI OA License
Syifa’ul Mufid, Muhammad; Patel, Ebrahim; Sergeev, Sergeĭ Solving linear equations over maxmin-\(\omega\) systems. (English) Zbl 07796453 Linear Algebra Appl. 681, 21-46 (2024). MSC: 15A80 15A06 PDFBibTeX XMLCite \textit{M. Syifa'ul Mufid} et al., Linear Algebra Appl. 681, 21--46 (2024; Zbl 07796453) 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
Mohamadkhani, Alireza; Geilen, Marc; Voeten, Jeroen; Basten, Twan Modeling and analysis of switching max-plus linear systems with discrete-event feedback. (English) Zbl 1522.93125 Discrete Event Dyn. Syst. 33, No. 3, 341-372 (2023). MSC: 93C65 93B52 93C30 93C05 15A80 PDFBibTeX XMLCite \textit{A. Mohamadkhani} et al., Discrete Event Dyn. Syst. 33, No. 3, 341--372 (2023; Zbl 1522.93125) Full Text: DOI OA License
Sridharan, Shrihari; Jayaraman, Sachindranath; Prajapaty, Yogesh Kumar Dynamics of products of matrices in max algebra. (English) Zbl 1525.15021 Discrete Event Dyn. Syst. 33, No. 2, 161-179 (2023). MSC: 15A80 15A18 15B34 15A60 47A12 37C25 PDFBibTeX XMLCite \textit{S. Sridharan} et al., Discrete Event Dyn. Syst. 33, No. 2, 161--179 (2023; Zbl 1525.15021) Full Text: DOI arXiv
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
Krivulin, N. K. On the solution of a two-sided vector equation in tropical algebra. (English. Russian original) Zbl 1518.15020 Vestn. St. Petersbg. Univ., Math. 56, No. 2, 172-181 (2023); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 2, 236-248 (2023). MSC: 15A24 15A06 14T10 PDFBibTeX XMLCite \textit{N. K. Krivulin}, Vestn. St. Petersbg. Univ., Math. 56, No. 2, 172--181 (2023; Zbl 1518.15020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 2, 236--248 (2023) Full Text: DOI
Wang, Cailu; Xia, Yuanqing; Li, Zhiwu; Tao, Yuegang Approximately global optimal control for max-plus linear systems and its application on load distribution. (English) Zbl 1519.93098 Int. J. Control 96, No. 5, 1104-1115 (2023). MSC: 93C05 15A80 49J05 PDFBibTeX XMLCite \textit{C. Wang} et al., Int. J. Control 96, No. 5, 1104--1115 (2023; Zbl 1519.93098) 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
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
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
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
Krivulin, Nikolai Algebraic solution to box-constrained bi-criteria problem of rating alternatives through pairwise comparisons. (English) Zbl 07655854 Kybernetika 58, No. 5, 665-690 (2022). MSC: 90C24 15A80 90B50 90C29 90C47 PDFBibTeX XMLCite \textit{N. Krivulin}, Kybernetika 58, No. 5, 665--690 (2022; Zbl 07655854) Full Text: DOI arXiv
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
Briec, Walter Determinants and limit systems in some idempotent and non-associative algebraic structure. (English) Zbl 1495.15039 Linear Algebra Appl. 651, 162-208 (2022). MSC: 15A80 15A04 15A15 47A05 06A12 16U40 PDFBibTeX XMLCite \textit{W. Briec}, Linear Algebra Appl. 651, 162--208 (2022; Zbl 1495.15039) Full Text: DOI arXiv
Yin, Yingxuan; Tao, Yuegang; Wang, Cailu; Chen, Haiyong Local and global robustness with \(q\)-step delay for max-plus linear systems. (English) Zbl 1492.93047 Discrete Event Dyn. Syst. 32, No. 2, 231-251 (2022); correction ibid. 33, No. 4, 507 (2023). MSC: 93B35 93C05 93B25 15A80 PDFBibTeX XMLCite \textit{Y. Yin} et al., Discrete Event Dyn. Syst. 32, No. 2, 231--251 (2022; Zbl 1492.93047) Full Text: DOI
Majdzik, Paweł A feasible schedule for parallel assembly tasks in flexible manufacturing systems. (English) Zbl 1491.93033 Int. J. Appl. Math. Comput. Sci. 32, No. 1, 51-63 (2022). MSC: 93B35 90B35 93C30 93C65 15A80 PDFBibTeX XMLCite \textit{P. Majdzik}, Int. J. Appl. Math. Comput. Sci. 32, No. 1, 51--63 (2022; Zbl 1491.93033) Full Text: DOI
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
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
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
Yin, Yingxuan; Tao, Yuegang; Wang, Cailu Relatively maximal perturbation bounds for global robustness of max-plus linear systems. (English) Zbl 1526.93172 Int. J. Robust Nonlinear Control 31, No. 9, 4170-4183 (2021). MSC: 93C73 93B35 93C05 93C65 15A80 PDFBibTeX XMLCite \textit{Y. Yin} et al., Int. J. Robust Nonlinear Control 31, No. 9, 4170--4183 (2021; Zbl 1526.93172) Full Text: DOI
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
Aberkane, Sofiane; Kara, Redouane; Amari, Saïd Modelling and feedback control for a class of Petri nets with shared resources subject to strict time constraints using max-plus algebra. (English) Zbl 1483.93184 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 52, No. 14, 3060-3075 (2021). MSC: 93B52 93C65 93B25 15A80 93C05 PDFBibTeX XMLCite \textit{S. Aberkane} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 52, No. 14, 3060--3075 (2021; Zbl 1483.93184) 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
Lombardy, Sylvain; Mairesse, Jean Max-plus automata. (English) Zbl 1510.68039 Pin, Jean-Éric (ed.), Handbook of automata theory. Volume I. Theoretical foundations. Berlin: European Mathematical Society (EMS). 151-188 (2021). MSC: 68Q45 15A80 16Y60 68Q70 PDFBibTeX XMLCite \textit{S. Lombardy} and \textit{J. Mairesse}, in: Handbook of automata theory. Volume I. Theoretical foundations. Berlin: European Mathematical Society (EMS). 151--188 (2021; Zbl 1510.68039) Full Text: DOI
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
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
Kobayashi, Katsuki; Tsujimoto, Satoshi The ultradiscrete Toda lattice and the Smith normal form of bidiagonal matrices. (English) Zbl 1497.37077 J. Math. Phys. 62, No. 9, Article ID 092701, 8 p. (2021). MSC: 37J70 37K60 37K30 37J37 15A21 PDFBibTeX XMLCite \textit{K. Kobayashi} and \textit{S. Tsujimoto}, J. Math. Phys. 62, No. 9, Article ID 092701, 8 p. (2021; Zbl 1497.37077) Full Text: DOI arXiv
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
Jamshidvand, Sedighe; Ghalandarzadeh, Shaban; Amiraslani, Amirhossein; Olia, Fateme Solving linear systems over idempotent semifields through \(LU\)-factorization. (English) Zbl 1490.65045 Rend. Circ. Mat. Palermo (2) 70, No. 2, 769-791 (2021). MSC: 65F05 15A06 12K10 PDFBibTeX XMLCite \textit{S. Jamshidvand} et al., Rend. Circ. Mat. Palermo (2) 70, No. 2, 769--791 (2021; Zbl 1490.65045) Full Text: DOI arXiv
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
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
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
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
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
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
Krivulin, Nikolai Complete solution of tropical vector inequalities using matrix sparsification. (English) Zbl 07285955 Appl. Math., Praha 65, No. 6, 755-775 (2020). MSC: 15A80 15A39 65F50 PDFBibTeX XMLCite \textit{N. Krivulin}, Appl. Math., Praha 65, No. 6, 755--775 (2020; Zbl 07285955) Full Text: DOI arXiv
Jamshidvand, Sedighe; Ghalandarzadeh, Shaban; Amiraslani, Amirhossein; Olia, Fateme On the maximal solution of a linear system over tropical semirings. (English) Zbl 1452.15016 Math. Sci., Springer 14, No. 2, 147-157 (2020). MSC: 15A80 15A06 16Y60 65F05 PDFBibTeX XMLCite \textit{S. Jamshidvand} et al., Math. Sci., Springer 14, No. 2, 147--157 (2020; Zbl 1452.15016) Full Text: DOI arXiv
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
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
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
Karaev, Sanjar; Miettinen, Pauli Algorithms for approximate subtropical matrix factorization. (English) Zbl 1458.68169 Data Min. Knowl. Discov. 33, No. 2, 526-576 (2019). MSC: 68T05 15A23 15A80 68T10 68W25 PDFBibTeX XMLCite \textit{S. Karaev} and \textit{P. Miettinen}, Data Min. Knowl. Discov. 33, No. 2, 526--576 (2019; Zbl 1458.68169) Full Text: DOI arXiv
Li, Pingke A note on resolving the inconsistency of one-sided max-plus linear equations. (English) Zbl 1449.15065 Kybernetika 55, No. 3, 531-539 (2019). Reviewer: Katarína Cechlárová (Košice) MSC: 15A80 15A06 90C11 PDFBibTeX XMLCite \textit{P. Li}, Kybernetika 55, No. 3, 531--539 (2019; Zbl 1449.15065) Full Text: DOI Link
Hook, James Max-plus linear inverse problems: 2-norm regression and system identification of max-plus linear dynamical systems with Gaussian noise. (English) Zbl 1437.15037 Linear Algebra Appl. 579, 1-31 (2019). MSC: 15A80 65F18 37H10 PDFBibTeX XMLCite \textit{J. Hook}, Linear Algebra Appl. 579, 1--31 (2019; Zbl 1437.15037) Full Text: DOI arXiv
Rosenmann, Amnon; Lehner, Franz; Peperko, Aljoša Polynomial convolutions in max-plus algebra. (English) Zbl 1430.15020 Linear Algebra Appl. 578, 370-401 (2019). MSC: 15A80 15A15 26C10 15B52 15A21 PDFBibTeX XMLCite \textit{A. Rosenmann} et al., Linear Algebra Appl. 578, 370--401 (2019; Zbl 1430.15020) Full Text: DOI arXiv Link
Butkovič, Peter A note on tropical linear and integer programs. (English) Zbl 1436.90102 J. Optim. Theory Appl. 180, No. 3, 1011-1026 (2019). MSC: 90C24 90C05 90C10 90C46 15A18 15A80 PDFBibTeX XMLCite \textit{P. Butkovič}, J. Optim. Theory Appl. 180, No. 3, 1011--1026 (2019; Zbl 1436.90102) Full Text: DOI arXiv
Tebani, K.; Amari, S.; Kara, R. Control of Petri nets subject to strict temporal constraints using max-plus algebra. (English) Zbl 1482.93393 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 49, No. 6, 1332-1344 (2018). MSC: 93C65 93B25 15A80 PDFBibTeX XMLCite \textit{K. Tebani} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 49, No. 6, 1332--1344 (2018; Zbl 1482.93393) Full Text: DOI
Valverde-Albacete, Francisco J.; Peláez-Moreno, Carmen \(\mathcal{K}\)-formal concept analysis as linear algebra over idempotent semifields. (English) Zbl 1441.68249 Inf. Sci. 467, 579-603 (2018). MSC: 68T30 12K10 15A99 PDFBibTeX XMLCite \textit{F. J. Valverde-Albacete} and \textit{C. Peláez-Moreno}, Inf. Sci. 467, 579--603 (2018; Zbl 1441.68249) Full Text: DOI
Provan, Gregory Diagnosing hybrid dynamical systems using max-plus algebraic methods. (English) Zbl 1458.93125 Sayed-Mouchaweh, Moamar (ed.), Fault diagnosis of hybrid dynamic and complex systems. Cham: Springer. 79-99 (2018). MSC: 93C30 93B25 93C65 93C05 15A80 PDFBibTeX XMLCite \textit{G. Provan}, in: Fault diagnosis of hybrid dynamic and complex systems. Cham: Springer. 79--99 (2018; Zbl 1458.93125) Full Text: DOI
Shojaeifard, Ali Reza; Afshin, Hamid Reza On some properties of the max algebra system over tensors. (English) Zbl 1412.15024 Sahand Commun. Math. Anal. 12, No. 1, 1-14 (2018). MSC: 15A69 15A18 15A09 PDFBibTeX XMLCite \textit{A. R. Shojaeifard} and \textit{H. R. Afshin}, Sahand Commun. Math. Anal. 12, No. 1, 1--14 (2018; Zbl 1412.15024) Full Text: DOI
Martínez-Olvera, César; Mora-Vargas, Jaime A max-plus algebra approach to study time disturbance propagation within a robustness improvement context. (English) Zbl 1426.93209 Math. Probl. Eng. 2018, Article ID 1932361, 18 p. (2018). MSC: 93C85 15A80 12K10 93C65 PDFBibTeX XMLCite \textit{C. Martínez-Olvera} and \textit{J. Mora-Vargas}, Math. Probl. Eng. 2018, Article ID 1932361, 18 p. (2018; Zbl 1426.93209) Full Text: DOI
Cimler, R.; Gavalec, M.; Zimmermann, K. An optimization problem on the image set of a (max, min) fuzzy operator. (English) Zbl 1397.65045 Fuzzy Sets Syst. 341, 113-122 (2018). MSC: 65F10 15A80 15B15 90C70 PDFBibTeX XMLCite \textit{R. Cimler} et al., Fuzzy Sets Syst. 341, 113--122 (2018; Zbl 1397.65045) Full Text: DOI
Krivulin, N. K.; Sorokin, V. N. Solution of a multidimensional tropical optimization problem using matrix sparsification. (English. Russian original) Zbl 1401.90144 Vestn. St. Petersbg. Univ., Math. 51, No. 1, 66-76 (2018); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 1, 86-99 (2018). MSC: 90C20 68T20 65K10 15A99 PDFBibTeX XMLCite \textit{N. K. Krivulin} and \textit{V. N. Sorokin}, Vestn. St. Petersbg. Univ., Math. 51, No. 1, 66--76 (2018; Zbl 1401.90144); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 1, 86--99 (2018) Full Text: DOI
Kubo, Susumu; Nishinari, Katsuhiro Applications of max-plus algebra to flow shop scheduling problems. (English) Zbl 1403.90340 Discrete Appl. Math. 247, 278-293 (2018). MSC: 90B35 15A80 65F30 PDFBibTeX XMLCite \textit{S. Kubo} and \textit{K. Nishinari}, Discrete Appl. Math. 247, 278--293 (2018; Zbl 1403.90340) Full Text: DOI
Hong, Hoon; Sendra, J. Rafael Number of common roots and resultant of two tropical univariate polynomials. (English) Zbl 1402.15019 J. Algebra 511, 420-439 (2018). Reviewer: Hulya Arguz (London) MSC: 15A80 14T05 15A15 12K10 PDFBibTeX XMLCite \textit{H. Hong} and \textit{J. R. Sendra}, J. Algebra 511, 420--439 (2018; Zbl 1402.15019) Full Text: DOI arXiv
Yu, Baomin; Zhao, Xianzhong; Zeng, Lingli A congruence on the semiring of normal tropical matrices. (English) Zbl 1396.15022 Linear Algebra Appl. 555, 321-335 (2018). MSC: 15A80 16Y60 PDFBibTeX XMLCite \textit{B. Yu} et al., Linear Algebra Appl. 555, 321--335 (2018; Zbl 1396.15022) Full Text: DOI
Kordonis, Ioannis; Maragos, Petros; Papavassilopoulos, George P. Stochastic stability in Max-Product and Max-Plus systems with Markovian jumps. (English) Zbl 1388.93096 Automatica 92, 123-132 (2018). MSC: 93E15 60J75 93C10 15A80 93D30 PDFBibTeX XMLCite \textit{I. Kordonis} et al., Automatica 92, 123--132 (2018; Zbl 1388.93096) Full Text: DOI arXiv
Subiono; Fahim, Kistosil; Adzkiya, Dieky Generalized public transportation scheduling using max-plus algebra. (English) Zbl 1449.15066 Kybernetika 54, No. 2, 243-267 (2018). MSC: 15A80 15A15 05C50 76A30 PDFBibTeX XMLCite \textit{Subiono} et al., Kybernetika 54, No. 2, 243--267 (2018; Zbl 1449.15066) Full Text: DOI Link
Izhakian, Zur; Niv, Adi; Rowen, Louis Supertropical \(\mathrm{SL}_n\). (English) Zbl 1386.15008 Linear Multilinear Algebra 66, No. 7, 1461-1483 (2018). MSC: 15A04 15A09 15A15 65F15 16Y60 14T05 22E15 PDFBibTeX XMLCite \textit{Z. Izhakian} et al., Linear Multilinear Algebra 66, No. 7, 1461--1483 (2018; Zbl 1386.15008) Full Text: DOI arXiv
Plavka, Ján; Sergeev, Sergeĭ Reachability of eigenspaces for interval circulant matrices in max-algebra. (English) Zbl 1390.15033 Linear Algebra Appl. 550, 59-86 (2018). MSC: 15A18 15A80 65G40 93C55 PDFBibTeX XMLCite \textit{J. Plavka} and \textit{S. Sergeev}, Linear Algebra Appl. 550, 59--86 (2018; Zbl 1390.15033) Full Text: DOI arXiv
Butkovič, Peter On integer images of max-plus linear mappings. (English) Zbl 1386.15052 Discrete Appl. Math. 239, 62-74 (2018). MSC: 15A80 15A24 PDFBibTeX XMLCite \textit{P. Butkovič}, Discrete Appl. Math. 239, 62--74 (2018; Zbl 1386.15052) Full Text: DOI arXiv
Wang, Cailu; Tao, Yuegang Interval strong solutions of interval systems of max-plus linear equations. (English) Zbl 1376.15019 Linear Algebra Appl. 537, 148-159 (2018). MSC: 15A80 65G30 65F30 PDFBibTeX XMLCite \textit{C. Wang} and \textit{Y. Tao}, Linear Algebra Appl. 537, 148--159 (2018; Zbl 1376.15019) Full Text: DOI
Daviaud, Laure; Guillon, Pierre; Merlet, Glenn Comparison of max-plus automata and joint spectral radius of tropical matrices. (English) Zbl 1441.68119 Larsen, Kim G. (ed.) et al., 42nd international symposium on mathematical foundations of computer science, MFCS 2017, August 21–25, 2017, Aalborg, Denmark. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 83, Article 19, 14 p. (2017). MSC: 68Q45 15A80 PDFBibTeX XMLCite \textit{L. Daviaud} et al., LIPIcs -- Leibniz Int. Proc. Inform. 83, Article 19, 14 p. (2017; Zbl 1441.68119) Full Text: DOI arXiv
Leela-apiradee, Worrawate; Lodwick, Weldon A.; Thipwiwatpotjana, Phantipa An algorithm for solving two-sided interval system of max-plus linear equations. (English) Zbl 1430.15019 Inf. Sci. 399, 183-200 (2017). MSC: 15A80 15A06 PDFBibTeX XMLCite \textit{W. Leela-apiradee} et al., Inf. Sci. 399, 183--200 (2017; Zbl 1430.15019) Full Text: DOI
Szabó, Peter Goldbach’s conjecture in max-algebra. (English) Zbl 1400.11131 Comput. Manag. Sci. 14, No. 1, 81-89 (2017). MSC: 11P05 15A80 PDFBibTeX XMLCite \textit{P. Szabó}, Comput. Manag. Sci. 14, No. 1, 81--89 (2017; Zbl 1400.11131) Full Text: DOI
Maragos, Petros Dynamical systems on weighted lattices: general theory. (English) Zbl 1386.93188 Math. Control Signals Syst. 29, No. 4, Paper No. 1, 49 p. (2017). MSC: 93C55 93C10 15A80 94A12 93E11 90C39 PDFBibTeX XMLCite \textit{P. Maragos}, Math. Control Signals Syst. 29, No. 4, Paper No. 1, 49 p. (2017; Zbl 1386.93188) Full Text: DOI arXiv
Hook, James Max-plus algebraic statistical leverage scores. (English) Zbl 1379.65023 SIAM J. Matrix Anal. Appl. 38, No. 4, 1410-1433 (2017). MSC: 65F30 65F20 15A80 65C60 PDFBibTeX XMLCite \textit{J. Hook}, SIAM J. Matrix Anal. Appl. 38, No. 4, 1410--1433 (2017; Zbl 1379.65023) Full Text: DOI arXiv
Farahani, Samira S.; van den Boom, Ton; De Schutter, Bart On optimization of stochastic max-min-plus-scaling systems – an approximation approach. (English) Zbl 1373.93214 Automatica 83, 20-27 (2017). MSC: 93C65 93E03 15A80 PDFBibTeX XMLCite \textit{S. S. Farahani} et al., Automatica 83, 20--27 (2017; Zbl 1373.93214) Full Text: DOI
Horvath, C. Tropical convexity in Riesz spaces. (English) Zbl 1387.14153 Topology Appl. 228, 433-457 (2017). Reviewer: Ngoc Mai Tran (Bonn) MSC: 14T05 15A80 46A40 54H25 54C55 54C65 62P20 90B22 91Bxx PDFBibTeX XMLCite \textit{C. Horvath}, Topology Appl. 228, 433--457 (2017; Zbl 1387.14153) Full Text: DOI
Fijavž, Marjeta Kramar; Peperko, Aljoša; Sikolya, Eszter Semigroups of max-plus linear operators. (English) Zbl 1420.47015 Semigroup Forum 94, No. 2, 463-476 (2017); erratum ibid. 94, No. 2, 477-479 (2017). Reviewer: Zhenbin Fan (Jiangsu) MSC: 47D06 47J35 15A80 PDFBibTeX XMLCite \textit{M. K. Fijavž} et al., Semigroup Forum 94, No. 2, 463--476 (2017; Zbl 1420.47015) Full Text: DOI arXiv
MacCaig, Marie Exploring the complexity of the integer image problem in the \(\max\)-algebra. (English) Zbl 1362.15022 Discrete Appl. Math. 217, Part 2, 261-275 (2017). MSC: 15A80 65Y20 65P30 PDFBibTeX XMLCite \textit{M. MacCaig}, Discrete Appl. Math. 217, Part 2, 261--275 (2017; Zbl 1362.15022) Full Text: DOI
Fahim, Kistosil; Subiono; van der Woude, Jacob On a generalization of power algorithms over MAX-plus algebra. (English) Zbl 1356.93054 Discrete Event Dyn. Syst. 27, No. 1, 181-203 (2017). MSC: 93C65 93B60 15A80 PDFBibTeX XMLCite \textit{K. Fahim} et al., Discrete Event Dyn. Syst. 27, No. 1, 181--203 (2017; Zbl 1356.93054) Full Text: DOI Link
Gonçalves, Vinicius Mariano; Maia, Carlos Andrey; Hardouin, Laurent On max-plus linear dynamical system theory: the regulation problem. (English) Zbl 1351.93090 Automatica 75, 202-209 (2017). MSC: 93C65 15A80 93B52 PDFBibTeX XMLCite \textit{V. M. Gonçalves} et al., Automatica 75, 202--209 (2017; Zbl 1351.93090) Full Text: DOI
Gavalec, M.; Plavka, J.; Ponce, D. Tolerance types of interval eigenvectors in max-plus algebra. (English) Zbl 1427.15030 Inf. Sci. 367-368, 14-27 (2016). MSC: 15A80 65F99 PDFBibTeX XMLCite \textit{M. Gavalec} et al., Inf. Sci. 367--368, 14--27 (2016; Zbl 1427.15030) Full Text: DOI
Rashid, Imran; Gavalec, Martin; Cimler, Richard Eigenspace structure of a max-prod fuzzy matrix. (English) Zbl 1386.15027 Fuzzy Sets Syst. 303, 136-148 (2016). MSC: 15A18 15B15 PDFBibTeX XMLCite \textit{I. Rashid} et al., Fuzzy Sets Syst. 303, 136--148 (2016; Zbl 1386.15027) Full Text: DOI
Boussahel, W. M.; Amari, S.; Kara, R. Analytic evaluation of the cycle time on networked conflicting timed event graphs in the (Max,+) algebra. (English) Zbl 1357.93061 Discrete Event Dyn. Syst. 26, No. 4, 561-581 (2016). MSC: 93C65 15A80 PDFBibTeX XMLCite \textit{W. M. Boussahel} et al., Discrete Event Dyn. Syst. 26, No. 4, 561--581 (2016; Zbl 1357.93061) Full Text: DOI
da Silva, Guilherme Gomes; Maia, Carlos Andrey On just-in-time control of timed event graphs with input constraints: a semimodule approach. (English) Zbl 1353.93074 Discrete Event Dyn. Syst. 26, No. 2, 351-366 (2016). MSC: 93C65 15A80 05C90 PDFBibTeX XMLCite \textit{G. G. da Silva} and \textit{C. A. Maia}, Discrete Event Dyn. Syst. 26, No. 2, 351--366 (2016; Zbl 1353.93074) Full Text: DOI
Lopes, Gabriel A. D.; Kersbergen, Bart; De Schutter, Bart; van den Boom, Ton; Babuška, Robert Synchronization of a class of cyclic discrete-event systems describing legged locomotion. (English) Zbl 1353.93069 Discrete Event Dyn. Syst. 26, No. 2, 225-261 (2016). MSC: 93C65 93C85 15A80 PDFBibTeX XMLCite \textit{G. A. D. Lopes} et al., Discrete Event Dyn. Syst. 26, No. 2, 225--261 (2016; Zbl 1353.93069) Full Text: DOI arXiv
Kersbergen, Bart; Rudan, János; van den Boom, Ton; De Schutter, Bart Towards railway traffic management using switching max-plus-linear systems, structure analysis and rescheduling. (English) Zbl 1353.93013 Discrete Event Dyn. Syst. 26, No. 2, 183-223 (2016). MSC: 93A30 93B40 93C95 15A80 90B36 90C11 PDFBibTeX XMLCite \textit{B. Kersbergen} et al., Discrete Event Dyn. Syst. 26, No. 2, 183--223 (2016; Zbl 1353.93013) Full Text: DOI
Xu, Jia; van den Boom, Ton; De Schutter, Bart Optimistic optimization for model predictive control of \(\max\)-plus linear systems. (English) Zbl 1348.93192 Automatica 74, 16-22 (2016). MSC: 93C65 15A80 93B40 90C11 PDFBibTeX XMLCite \textit{J. Xu} et al., Automatica 74, 16--22 (2016; Zbl 1348.93192) Full Text: DOI
Zhang, Hongwei; Tao, Yuegang; Zhang, Zilong Strong solvability of interval max-plus systems and applications to optimal control. (English) Zbl 1347.93092 Syst. Control Lett. 96, 88-94 (2016). MSC: 93B25 15A80 49N90 PDFBibTeX XMLCite \textit{H. Zhang} et al., Syst. Control Lett. 96, 88--94 (2016; Zbl 1347.93092) Full Text: DOI
Butkovič, Peter; Jones, Daniel On special cases of the generalized max-plus eigenproblem. (English) Zbl 1347.15014 SIAM J. Matrix Anal. Appl. 37, No. 3, 1002-1021 (2016). MSC: 15A18 15A80 PDFBibTeX XMLCite \textit{P. Butkovič} and \textit{D. Jones}, SIAM J. Matrix Anal. Appl. 37, No. 3, 1002--1021 (2016; Zbl 1347.15014) Full Text: DOI
Hashemi, Behnam; Tavakolipour, Hanieh; Nasrollahi Shirazi, Mahsa Explicit formulae for the greatest least-squares and minimum norm \(g\)-inverses and the unique group inverse of matrices over commutative residuated dioids. (English) Zbl 1351.15005 Semigroup Forum 92, No. 3, 541-550 (2016). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A09 03G05 06B23 15A80 15A24 PDFBibTeX XMLCite \textit{B. Hashemi} et al., Semigroup Forum 92, No. 3, 541--550 (2016; Zbl 1351.15005) Full Text: DOI
Morrison, Ralph; Tran, Ngoc M. The tropical commuting variety. (English) Zbl 1375.14216 Linear Algebra Appl. 507, 300-321 (2016). MSC: 14T05 15A27 15A24 PDFBibTeX XMLCite \textit{R. Morrison} and \textit{N. M. Tran}, Linear Algebra Appl. 507, 300--321 (2016; Zbl 1375.14216) Full Text: DOI arXiv
Plavka, Ján; Sergeev, Sergeĭ \(\mathbf{X}\)-simple image eigencones of tropical matrices. (English) Zbl 1347.15034 Linear Algebra Appl. 507, 169-190 (2016). MSC: 15A80 15A18 65G30 PDFBibTeX XMLCite \textit{J. Plavka} and \textit{S. Sergeev}, Linear Algebra Appl. 507, 169--190 (2016; Zbl 1347.15034) Full Text: DOI arXiv
Akian, Marianne; Bapat, Ravindra; Gaubert, Stéphane Non-archimedean valuations of eigenvalues of matrix polynomials. (English) Zbl 1341.15005 Linear Algebra Appl. 498, 592-627 (2016). MSC: 15A18 15A80 65F35 47A55 05C50 12K10 PDFBibTeX XMLCite \textit{M. Akian} et al., Linear Algebra Appl. 498, 592--627 (2016; Zbl 1341.15005) Full Text: DOI arXiv
Valverde-Albacete, Francisco J.; Peláez-Moreno, Carmen The spectra of irreducible matrices over completed idempotent semifields. (English) Zbl 1374.15047 Fuzzy Sets Syst. 271, 46-69 (2015). MSC: 15B33 15A18 06F25 PDFBibTeX XMLCite \textit{F. J. Valverde-Albacete} and \textit{C. Peláez-Moreno}, Fuzzy Sets Syst. 271, 46--69 (2015; Zbl 1374.15047) Full Text: DOI Link