Solving Linear Systems over Tropical Semirings through Normalization Method and its Applications
Commutative Algebra
2019-06-25 v2
Abstract
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.
Cite
@article{arxiv.1905.00489,
title = {Solving Linear Systems over Tropical Semirings through Normalization Method and its Applications},
author = {Fateme Olia and Shaban Ghalandarzadeh and Amirhossein Amiraslani and Sedighe Jamshidvand},
journal= {arXiv preprint arXiv:1905.00489},
year = {2019}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1904.13169