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
Allamigeon, Xavier; Gaubert, Stéphane; Skomra, Mateusz Tropical spectrahedra. (English) Zbl 1437.14066 Discrete Comput. Geom. 63, No. 3, 507-548 (2020). MSC: 14T10 14T15 90C22 14P10 12J25 15A03 15A15 16Y60 52A37 14T25 PDFBibTeX XMLCite \textit{X. Allamigeon} et al., Discrete Comput. Geom. 63, No. 3, 507--548 (2020; Zbl 1437.14066) Full Text: DOI arXiv
Barkeshli, Maissam; Bonderson, Parsa; Cheng, Meng; Jian, Chao-Ming; Walker, Kevin Reflection and time reversal symmetry enriched topological phases of matter: path integrals, non-orientable manifolds, and anomalies. (English) Zbl 1439.82003 Commun. Math. Phys. 374, No. 2, 1021-1124 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 82B10 82B20 81S40 81T30 15A18 46N50 PDFBibTeX XMLCite \textit{M. Barkeshli} et al., Commun. Math. Phys. 374, No. 2, 1021--1124 (2020; Zbl 1439.82003) Full Text: DOI arXiv
Akian, Marianne; Gaubert, Stéphane; Niv, Adi Tropical compound matrix identities. (English) Zbl 1415.15012 Linear Algebra Appl. 551, 162-206 (2018). MSC: 15A24 15A15 15A09 15A18 15A29 PDFBibTeX XMLCite \textit{M. Akian} et al., Linear Algebra Appl. 551, 162--206 (2018; Zbl 1415.15012) Full Text: DOI arXiv
Kauffman, Louis H.; Lomonaco, Samuel J. Braiding, Majorana fermions, Fibonacci particles and topological quantum computing. (English) Zbl 1448.81241 Quantum Inf. Process. 17, No. 8, Paper No. 201, 81 p. (2018). MSC: 81P68 81R25 15A66 11E88 18M15 20F36 PDFBibTeX XMLCite \textit{L. H. Kauffman} and \textit{S. J. Lomonaco}, Quantum Inf. Process. 17, No. 8, Paper No. 201, 81 p. (2018; Zbl 1448.81241) Full Text: DOI
Akian, Marianne; Gaubert, Stéphane; Sharify, Meisam Log-majorization of the moduli of the eigenvalues of a matrix polynomial by tropical roots. (English) Zbl 1428.15009 Linear Algebra Appl. 528, 394-435 (2017). Reviewer: Iveta Hnetynkova (Praha) MSC: 15A18 15A22 15A80 47J10 PDFBibTeX XMLCite \textit{M. Akian} et al., Linear Algebra Appl. 528, 394--435 (2017; Zbl 1428.15009) 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
Shitov, Yaroslav Nikolaevich Tropical semimodules of dimension two. (English) Zbl 1316.15032 St. Petersbg. Math. J. 26, No. 2, 341-350 (2015) and Algebra Anal. 26, No. 2, 216-228 (2014). MSC: 15A80 16D80 65Y20 PDFBibTeX XMLCite \textit{Y. N. Shitov}, St. Petersbg. Math. J. 26, No. 2, 341--350 (2015; Zbl 1316.15032) Full Text: DOI
de la Puente, María Jesús Distances on the tropical line determined by two points. (English) Zbl 1321.14050 Kybernetika 50, No. 3, 408-435 (2014). Reviewer: Péter E. Frenkel (Budapest) MSC: 14T05 15A80 PDFBibTeX XMLCite \textit{M. J. de la Puente}, Kybernetika 50, No. 3, 408--435 (2014; Zbl 1321.14050) Full Text: arXiv Link
Akian, Marianne; Gaubert, Stéphane; Marchesini, Andrea Tropical bounds for eigenvalues of matrices. (English) Zbl 1297.14063 Linear Algebra Appl. 446, 281-303 (2014). Reviewer: Péter E. Frenkel (Budapest) MSC: 14T05 15A18 PDFBibTeX XMLCite \textit{M. Akian} et al., Linear Algebra Appl. 446, 281--303 (2014; Zbl 1297.14063) Full Text: DOI arXiv
Litvinov, G. L.; Rodionov, A. Ya.; Sergeev, S. N.; Sobolevski, A. N. Universal algorithms for solving the matrix Bellman equations over semirings. (English) Zbl 1327.65082 Soft Comput. 17, No. 10, 1767-1785 (2013). MSC: 65F30 16Y60 16Z05 15A24 15A80 PDFBibTeX XMLCite \textit{G. L. Litvinov} et al., Soft Comput. 17, No. 10, 1767--1785 (2013; Zbl 1327.65082) Full Text: DOI arXiv
Wagneur, Edouard The Whitney embedding theorem for tropical torsion modules. Classification of tropical modules. (English) Zbl 1221.15037 Linear Algebra Appl. 435, No. 7, 1786-1795 (2011). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A80 16D80 15A39 15A03 16D40 PDFBibTeX XMLCite \textit{E. Wagneur}, Linear Algebra Appl. 435, No. 7, 1786--1795 (2011; Zbl 1221.15037) Full Text: DOI
Guterman, Alexander E. Matrix invariants over semirings. (English) Zbl 1214.15012 Hazewinkel, M. (ed.), Handbook of algebra. Volume 6. Amsterdam: Elsevier/North-Holland (ISBN 978-0-444-53257-2/hbk). Handbook of Algebra 6, 3-33 (2009). Reviewer: Florin Nicolae (Berlin) MSC: 15B33 15-02 15A45 15A03 16Y60 15A15 PDFBibTeX XMLCite \textit{A. E. Guterman}, Handb. Algebra 6, 3--33 (2009; Zbl 1214.15012) Full Text: DOI
Ansola, M.; De La Puente, M. J. A note on tropical triangles in the plane. (English) Zbl 1185.52022 Acta Math. Sin., Engl. Ser. 25, No. 11, 1775-1786 (2009). MSC: 52C35 52C20 15A39 12K99 PDFBibTeX XMLCite \textit{M. Ansola} and \textit{M. J. De La Puente}, Acta Math. Sin., Engl. Ser. 25, No. 11, 1775--1786 (2009; Zbl 1185.52022) Full Text: DOI arXiv Link
Beasley, Leroy B.; Guterman, Alexander E.; Lee, Sang-Gu; Song, Seok-Zun Frobenius and Dieudonné theorems over semirings. (English) Zbl 1110.15004 Linear Multilinear Algebra 55, No. 1, 19-34 (2007). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15A04 15A15 15B33 16Y60 PDFBibTeX XMLCite \textit{L. B. Beasley} et al., Linear Multilinear Algebra 55, No. 1, 19--34 (2007; Zbl 1110.15004) Full Text: DOI
Huhtanen, Marko; von Pfaler, Jan The real linear eigenvalue problem in \(\mathbb C^n\). (English) Zbl 1070.15006 Linear Algebra Appl. 394, 169-199 (2005). Reviewer: Jaspal Singh Aujla (Jalandhar) MSC: 15A18 15A04 14Q05 65F15 PDFBibTeX XMLCite \textit{M. Huhtanen} and \textit{J. von Pfaler}, Linear Algebra Appl. 394, 169--199 (2005; Zbl 1070.15006) Full Text: DOI