The characteristic equation of the matrix over min-plus algebra
*SiswantoCorresponding authorsis.mipa@staff.uns.ac.idDepartement of Mathematics Faculty of Mathematics and Natural Science Universitas Sebelas MaretStudy Program of Mathematics Universitas Sebelas MaretSurakarta, 57126, IndonesiaView full profile → , Neli NurhayatiDepartement of Mathematics Faculty of Mathematics and Natural Science Universitas Sebelas MaretSurakarta, 57126, IndonesiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 10 Aug 2022
- Published Online:
- 08 Sep 2023
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-1593
- Pages:
- 993–1000
Abstract
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References
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[2] Farlow, K. G., Max-Plus Algebra, Virginia Polytechnic Institute and State University, Virginia, 2009, 45-50.
[3] Lipschuts, S. and Lipson, M. L., Linear Algebra 4tℎ Edition (2009) McGraw-Hill, New York.
[4] Olsder, G. J. and Roos C., Cramer and Cayley-Hamilton in the Max-Algebra, Linear Algebra and its Applications. 101, 87-108 (1988).
[5] Quadrat J. P., M. Akian, G. Cohen, S.Gaubert, M. Mc Gettrick, and M. Viot, Min-Plus Linearity and Statistical Mechanics, Séminaire sur la mécanique statistique des grands réseaux, INRIA, 21-25 (October 1996).
[6] Siswanto, N. Nurhayati and Pangadi, Cayley-Hamilton Theorem in The Min-Plus Algebra, Journal of Discrete Mathematical Science and Cryptography, 24:6, 1821-1828 (2021).
[7] Schutter B. D. and Moor B. D., A note on the Characteristice Equation in the Max-Plus Algebra, Linear Albebra and its Applications. 261, 237-250 (1997).
[8] Watanabe, S. and Watanabe, Y., Min-Plus Algebra and Networks, RIMS Kôkyûroku Bessatsu, B47, 41-54 (2014).




