2019/04/30 by Fateme Olia, Shaban Ghalandarzadeh, Olia, Fateme +5 · 1 citation
Mathematics · #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC
paper · pdf · doi:10.48550/arxiv.1905.00489
arXiv admin note: substantial text overlap with arXiv:1904.13169
arxiv created 2019/06/24 · arxiv updated 2019/06/25
In this paper, we introduce and analyze a normalization method for solving a system of linear equations over tropical semirings. We use a normalization method to construct an associated normalized matrix, which gives a technique for solving the system. If solutions exist, the method can also determine the degrees of freedom of the system. Moreover, we present a procedure to determine the column rank and the row rank of a matrix. Flowcharts for this normalization method and its applications are included as well.