The representation and approximation for the weighted Minkowski inverse in Minkowski space
This paper extends some results for the weighted Moore-Penrose inverse A(M,N)(+) in Hilbert space to the so-called weighted Minkowski inverse A(M,N)(circle plus) of an arbitrary rectangular matrix A is an element of M-m,M-n in Minkowski spaces mu. Four methods are also used for approximating the weighted Minkowski Inverse A(M,N)(circle plus). These methods are: Borel summable, Euler-Knopp summable, Newton-Raphson and Tikhonov's methods. (c) 2008 Published by Elsevier Ltd.
weighted minkowski inverses minkowski space weighted moore-penrose inverse group inverse matrix norm weighted svd convergence sequence weighted range symmetric matrix positive definite matrix