M. Akian, R. Bapat, S. Gaubert, L. Hogben, R. Brualdi et al., Handbook of Linear Algebra, 2006.

M. Akian, S. Gaubert, and A. Guterman, Linear independence over tropical semirings and beyond, Tropical and Idempotent Mathematics Contemporary Mathematics, vol.495, pp.1-38, 2009.
DOI : 10.1090/conm/495/09689

A. Buchholz, Tropicalization of linear isomorphisms on plane elliptic curves, 2010.

P. Butkovic, Max-algebra: the linear algebra of combinatorics?, Linear Algebra and its Applications, vol.367, pp.313-335, 2003.
DOI : 10.1016/S0024-3795(02)00655-9

P. Butkovic, On the coefficients of the max-algebraic characteristic polynomial and equation, proceedings of the workshop on Max-algebra, Symposium of the International Federation of Automatic Control, 2001.

P. Butkovic and L. Murfitt, Calculating essential terms of a characteristic maxpolynomial, CEJOR, vol.8, pp.237-246, 2000.

M. Fiedler, J. Nedoma, J. Ramik, J. Rohn, and K. Zimmermann, Linear optimization problems with inexact data, 2006.

S. Gaubert and M. Plus, Mathods and applications of (max, +) linear algebra, Lecture Notes in Computer Science, vol.1200, 1997.

S. Gaubert, Théorie des systèmes linéaires dans les dio¨?desdio¨?des. PhD dissertation, School of Mines, 1992.

J. S. Golan, Semirings and their applications, 1999.
DOI : 10.1007/978-94-015-9333-5

M. Gondran, Path Algebra and Algorithms, Combinatorial programing: methods and applications, pp.137-148, 1975.
DOI : 10.1007/978-94-011-7557-9_6

B. Heidergott, G. Olsder, and J. Van-der-woude, Max Plus at Work: Modeling and Analysis of Synchronized Systems: A Course on Max-Plus Algebra and Its Applications, 2006.
DOI : 10.1515/9781400865239

Z. Izhakian, Tropical Arithmetic and Matrix Algebra, Communications in Algebra, vol.4, issue.3, pp.1445-1468, 2009.
DOI : 10.1080/00927870802466967

Z. Izhakian and L. Rowen, Supertropical algebra, Advances in Mathematics, vol.225, issue.4, pp.2222-2286, 2010.
DOI : 10.1016/j.aim.2010.04.007

Z. Izhakian and L. Rowen, Supertropical matrix algebra, Israel Journal of Mathematics, vol.37, issue.1, pp.383-424, 2011.
DOI : 10.1007/s11856-011-0036-2

Z. Izhakian and L. Rowen, Supertropical matrix algebra II: Solving tropical equations, Israel Journal of Mathematics, vol.37, issue.1, pp.69-97, 2011.
DOI : 10.1007/s11856-011-0133-2

Z. Izhakian and L. Rowen, Supertropical matrix algebra III: Powers of matrices and their supertropical eigenvalues, Journal of Algebra, vol.341, issue.1, pp.125-149, 2011.
DOI : 10.1016/j.jalgebra.2011.06.002

G. L. Litvinov and V. P. Maslov, Idempotent mathematics: a correspondence principle and its applications to computing, Russian Mathematical Surveys, vol.51, issue.6, pp.1210-1211, 1996.
DOI : 10.1070/RM1996v051n06ABEH003011

G. L. Litvinov, A. Ya, S. N. Rodionov, A. V. Sergeev, and . Sobolevski, Universal algorithms for solving the matrix Bellmann equation over semirings, 2012.

G. Mikhalkin, Tropical geometry and its applications, Proceedings of the ICM, pp.827-852, 2006.
DOI : 10.4171/022-2/40

A. Niv, Characteristic Polynomials of Supertropical Matrices, Communications in Algebra, vol.42, issue.2, 2012.
DOI : 10.1016/0012-365X(83)90164-4

URL : https://hal.archives-ouvertes.fr/hal-01253421

A. Niv, FACTORIZATION OF TROPICAL MATRICES, Journal of Algebra and Its Applications, vol.13, issue.01, p.1350066, 2014.
DOI : 10.1142/S0219498813500667

URL : https://hal.archives-ouvertes.fr/hal-01260232

C. Reutenauer and H. Straubing, Inversion of matrices over a commutative semiring, Journal of Algebra, vol.88, issue.2, pp.350-360, 1984.
DOI : 10.1016/0021-8693(84)90070-X

S. N. Sergeev and . Multiorder, Multiorder, Kleene stars and cyclic projectors in the geometry of max cones, Contemporary mathematics Tropical and idempotent mathematics, p.317342, 2009.
DOI : 10.1090/conm/495/09704

S. N. Sergeev, H. Schneider, and P. Butkovic, On visualization scaling, subeigenvectors and Kleene stars in max algebra, Linear Algebra and its Applications, vol.431, issue.12, pp.2395-2406, 2009.
DOI : 10.1016/j.laa.2009.03.040

H. Straubing, A combinatorial proof of the Cayley-Hamilton theorem, Discrete Mathematics, vol.43, issue.2-3, pp.273-279, 1983.
DOI : 10.1016/0012-365X(83)90164-4

M. Yoeli, A Note on a Generalization of Boolean Matrix Theory, The American Mathematical Monthly, vol.68, issue.6, pp.552-557, 1961.
DOI : 10.2307/2311149