[HTML][HTML] On the solutions of linear systems over additively idempotent semirings

Á Otero Sánchez, D Camazón Portela… - Mathematics, 2024 - mdpi.com
The aim of this article is to solve the system XA= Y, where A=(ai, j)∈ M n× m (S), Y∈ S m
and X is an unknown vector of a size n, with S being an additively idempotent semiring. If the …

[PDF][PDF] A Novel Methodology For Determining Row And Column Ranks Of Tropical Matrices

A Boopathy, P Ramachandran - Applied Mathematics E-Notes, 2025 - math.nthu.edu.tw
In the modern era, tropical cryptographic algorithms can be effectively deciphered through
the application of tropical linear systems. The solvability of these systems is determined by …

Maximal Solution of Tropical Linear Systems by Normalization Method

B Amutha, R Perumal - International Conference on Recent …, 2022 - Springer
Imre Simon [2], a Brazilian mathematician and computer scientist, was the first who brought
tropical geometry into the literature. French mathematicians coined the term “tropical” to …

[PDF][PDF] Simetrisasi Aljabar Min-Plus

S Suroto - Vygotsky: Jurnal Pendidikan Matematika …, 2022 - jurnalpendidikan.unisla.ac.id
Pada makalah ini dibahas simetrasasi pada aljabar min-plus. Tujuan dari penelitian ini
adalah mengonstruksi bentuk negatif dan setimbang dari setiap elemen pada aljabar min …

Analysis of linear systems over idempotent semifields

F Olia, S Ghalandarzadeh, A Amiraslani… - Mathematical …, 2020 - Springer
In this paper, we discuss and analyze methods for solving a system of linear equations over
idempotent semifields. The first method is based on the pseudo-inverse of the system matrix …