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


Citation

Kilicman, Adem and Mah'd Al Zhour, Zeyad Abdel Aziz (2008) The representation and approximation for the weighted Minkowski inverse in Minkowski space. Mathematical and Computer Modelling, 47 (3-4). pp. 363-371. ISSN 0895-7177

Abstract / Synopsis

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


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1016/j.mcm.2007.03.031
Publisher: Elsevier
Keywords: Weighted Moore–Penrose inverse, Weighted Minkowski inverses, Group inverse, Matrix norm, Weighted SVD, Minkowski space, Convergence, Sequence, Weighted range symmetric matrix, Positive definite matrix
Depositing User: Najwani Amir Sariffudin
Date Deposited: 01 Jun 2010 09:11
Last Modified: 28 Sep 2015 08:20
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.mcm.2007.03.031
URI: http://psasir.upm.edu.my/id/eprint/7022
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