闵氏空间中矩阵广义逆的研究

Research on Generalized Inverse of Matrix in Minkowski Space

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。

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.