The 𝔪-WG° inverse in the Minkowski space
Xiaoji Liu, Kaiyue Zhang, Hongwei Jin · Open Mathematics · 2023
Abstract In this article, we study the m {\mathfrak{m}} -WG ∘ {}^{\circ } inverse which presents a generalization of the m {\mathfrak{m}} -WG inverse in the Minkowski space. We first show the existence and the uniqueness of the generalized inverse. Then, we discuss several properties and characterizations of the m {\mathfrak{m}} -WG ∘ {}^{\circ } inverse by using the core-EP decomposition. Applying the generalized inverse, we obtain the solutions of some matrix equations in Minkowski space.