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The representation and approximation for the weighted Minkowski inverse in Minkowski space
Journal article   Open access  Peer reviewed

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

Adem Kilicman and Zeyad Al Zhour
Mathematical and computer modelling, Vol.47(3-4), pp.363-371
01/02/2008
DOI: https://doi.org/10.1016/j.mcm.2007.03.031

Abstract

Computer Science Computer Science, Interdisciplinary Applications Computer Science, Software Engineering Mathematics Mathematics, Applied Physical Sciences Science & Technology Technology
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.
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