The 𝔪-WG° inverse in the Minkowski space

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.

Keywords

• 𝔪-wg° inverse
• 𝔪-wg inverse
• core-ep decomposition
• 15a09
• 15a24