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- W4297872545 abstract "In this paper, we present methods for solving a system of linear equations, $ AX=b $, over tropical semirings. To this end, if possible, we first reduce the order of the system through some row-column analysis, and obtain a new system with fewer equations and variables. We then use the pseudo-inverse of the system matrix to solve the system if solutions exist. Moreover, we propose a new version of Cramer's rule to determine the maximal solution of the system. Maple procedures for computing the pseudo-inverse are included as well." @default.
- W4297872545 created "2022-10-01" @default.
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- W4297872545 date "2019-04-30" @default.
- W4297872545 modified "2023-09-29" @default.
- W4297872545 title "On the Maximal Solution of A Linear System over Tropical Semirings" @default.
- W4297872545 doi "https://doi.org/10.48550/arxiv.1904.13169" @default.
- W4297872545 hasPublicationYear "2019" @default.
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