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

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...

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Main Authors: Kilicman, Adem, Mah'd Al Zhour, Zeyad Abdel Aziz
格式: Article
語言:English
English
出版: Elsevier 2008
在線閱讀:http://psasir.upm.edu.my/id/eprint/7022/1/The%20representation%20and%20approximation%20for%20the%20weighted%20Minkowski%20inverse%20in%20Minkowski%20space.pdf
http://psasir.upm.edu.my/id/eprint/7022/
http://dx.doi.org/10.1016/j.mcm.2007.03.031
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spelling my.upm.eprints.70222015-09-28T08:20:53Z http://psasir.upm.edu.my/id/eprint/7022/ The representation and approximation for the weighted Minkowski inverse in Minkowski space Kilicman, Adem Mah'd Al Zhour, Zeyad Abdel Aziz 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. Elsevier 2008 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/7022/1/The%20representation%20and%20approximation%20for%20the%20weighted%20Minkowski%20inverse%20in%20Minkowski%20space.pdf 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 http://dx.doi.org/10.1016/j.mcm.2007.03.031 10.1016/j.mcm.2007.03.031 English
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
English
description 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.
format Article
author Kilicman, Adem
Mah'd Al Zhour, Zeyad Abdel Aziz
spellingShingle Kilicman, Adem
Mah'd Al Zhour, Zeyad Abdel Aziz
The representation and approximation for the weighted Minkowski inverse in Minkowski space
author_facet Kilicman, Adem
Mah'd Al Zhour, Zeyad Abdel Aziz
author_sort Kilicman, Adem
title The representation and approximation for the weighted Minkowski inverse in Minkowski space
title_short The representation and approximation for the weighted Minkowski inverse in Minkowski space
title_full The representation and approximation for the weighted Minkowski inverse in Minkowski space
title_fullStr The representation and approximation for the weighted Minkowski inverse in Minkowski space
title_full_unstemmed The representation and approximation for the weighted Minkowski inverse in Minkowski space
title_sort representation and approximation for the weighted minkowski inverse in minkowski space
publisher Elsevier
publishDate 2008
url http://psasir.upm.edu.my/id/eprint/7022/1/The%20representation%20and%20approximation%20for%20the%20weighted%20Minkowski%20inverse%20in%20Minkowski%20space.pdf
http://psasir.upm.edu.my/id/eprint/7022/
http://dx.doi.org/10.1016/j.mcm.2007.03.031
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