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arXiv · 1905.00489

Solving Linear Systems over Tropical Semirings through Normalization Method and its Applications

Fateme Olia·Shaban Ghalandarzadeh·Amirhossein Amiraslani·Sedighe Jamshidvand
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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.

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Fateme Olia, Shaban Ghalandarzadeh, Amirhossein Amiraslani, Sedighe Jamshidvand. 2019-06-24. Solving Linear Systems over Tropical Semirings through Normalization Method and its Applications. https://arxiv.org/abs/1905.00489

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