Smax上2 × 2拟可逆矩阵的研究
Study on 2 × 2 Quasi-Invertible Matrices over Smax
DOI: 10.12677/PM.2024.141035, PDF,    科研立项经费支持
作者: 张利萍, 李思琸：云南财经大学，统计与数学学院，云南 昆明；苏 瑞：武汉生物工程学院，计算机科学与技术学院，湖北 武汉
关键词: 热带半环；热带矩阵；拟可逆；Tropical Semiring； Tropical Matrix； Quasi-Invertible
摘要: 矩阵作为代数中常见的工具，与方程组、线性变换密切相关。本文将对对称max-plus半环Smax上的二阶矩阵的结构进行研究，并对系数矩阵拟可逆的二元一次方程解进行讨论。
Abstract: As a common tool in algebra, matrix is closely related to equations and linear transformations. In this paper, the structure of 2 × 2 matrix on symmetric max-plus semiring Smax is studied, and the solutions of bivariate first order equations with quasi-invertible coefficient matrix are discussed.
文章引用：张利萍, 苏瑞, 李思琸. Smax上2 × 2拟可逆矩阵的研究[J]. 理论数学, 2024, 14(1): 341-346. https://doi.org/10.12677/PM.2024.141035

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