The representation and approximation for the weighted Minkowski inverse in Minkowski space

This paper extends some results for the weighted Moore–Penrose inverse AM,N+ in Hilbert space to the so-called weighted Minkowski inverse AM,N⊕ of an arbitrary rectangular matrix A∈Mm,nA∈Mm,n in Minkowski spaces μμ. Four methods are also used for approximating the weighted Minkowski Inverse AM,N⊕. These methods are: Borel summable, Euler–Knopp summable, Newton–Raphson and Tikhonov’s methods.