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Elsevier, Mathematical and Computer Modelling, 3-4(47), p. 363-371, 2008

DOI: 10.1016/j.mcm.2007.03.031

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

Journal article published in 2008 by Adem Kilicman ORCID, Zeyad Abdel Aziz Mah'd Al Zhour, Zeyad Al Zhour
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

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.