闵氏空间中矩阵广义逆的研究
Research on Generalized Inverse of Matrix in Minkowski Space
DOI: 10.12677/PM.2023.138248, PDF,    国家自然科学基金支持
作者: 祝小雪：湖北师范大学数学与统计学院，湖北 黄石；熊 飞*：江西师范大学数学与统计学院，江西 南昌
关键词: 闵氏空间；闵氏逆；Zlobec公式；Minkowski Space； Minkowski Inverse； Zlobec Formula
摘要: 本文介绍了闵氏空间中矩阵广义逆的概念，总结推广了其性质及表征，并基于矩阵的广义逆理论给出了Bjerhammar定理、Zlobec公式等在闵氏空间中的形式，获得了闵氏空间中矩阵广义逆的一些新刻画。
Abstract: In this paper, we introduce the concept of generalized inverse of matrix in Minkowski space, gen-eralize its properties and characterization, and give the forms of Bjerhammar theorem and Zlobec formula in Minkowski space based on the generalized inverse theory of matrix, obtain some new characterizations of generalized inverse of matrix in Minkowski space.
文章引用：祝小雪, 熊飞. 闵氏空间中矩阵广义逆的研究[J]. 理论数学, 2023, 13(8): 2396-2402. https://doi.org/10.12677/PM.2023.138248

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