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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| Format: | Article |
| Language: | English English |
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Elsevier
2008
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| Online Access: | http://psasir.upm.edu.my/id/eprint/7022/ http://psasir.upm.edu.my/id/eprint/7022/1/The%20representation%20and%20approximation%20for%20the%20weighted%20Minkowski%20inverse%20in%20Minkowski%20space.pdf |
| _version_ | 1848840480837599232 |
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| author | Kilicman, Adem Mah'd Al Zhour, Zeyad Abdel Aziz |
| author_facet | Kilicman, Adem Mah'd Al Zhour, Zeyad Abdel Aziz |
| author_sort | Kilicman, Adem |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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.
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| first_indexed | 2025-11-15T07:28:01Z |
| format | Article |
| id | upm-7022 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T07:28:01Z |
| publishDate | 2008 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Kilicman, Adem Mah'd Al Zhour, Zeyad Abdel Aziz The representation and approximation for the weighted Minkowski inverse in Minkowski space |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/7022/ http://psasir.upm.edu.my/id/eprint/7022/ http://psasir.upm.edu.my/id/eprint/7022/ http://psasir.upm.edu.my/id/eprint/7022/1/The%20representation%20and%20approximation%20for%20the%20weighted%20Minkowski%20inverse%20in%20Minkowski%20space.pdf |