Fast computing of the Moore-Penrose inverse matrix

Electronic Journal of Linear Algebra

Volumn 17, Issue , 2008, Pages 637-650

  Katsikis, Vasilios N ^a   Pappas, Dimitrios ^b  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

^b ATHENS UNIVERSITY OF ECONOMICS AND BUSINESS   (Greece)

Author keywords

Computational methods; Moore Penrose inverse matrix; Reverse order law; Tensor product matrix

Indexed keywords

EID: 57349166560     PISSN: None     EISSN: 10813810     Source Type: Journal    
DOI: 10.13001/1081-3810.1287     Document Type: Article

References (12)

1. R. Bouldin. The pseudo-inverse of a product. SIAM Journal on Applied Mathematics, 24:(4), 489-495, 1973.
2. A. Ben-Israel and T. N. E. Grenville. Generalized Inverses: Theory and Applications. Springer-Verlag, Berlin 2002.
3. P. Courrieu. Fast Computation of Moore-Penrose Inverse matrices. Neural Information Processing-Letters and Reviews, 8:25-29, 2005.
4. D. S. Djordjevic. Products of EP operators on Hubert spaces. Proceedings of the American Mathematical Society, 129:(6), 1727-1731, 2001.
5. T. N. E. Greville. Note on the generalized inverse of a matrix product. SIAM Review, 8:518-521, 1966.
6. C. Groetsch. Generalized Inverses of Linear Operators. Marcel-Dekker, Inc., New York, 1973.
7. S. Izumino. The product of operators with closed range and an extension of the reverse order law. Tohoku Mathematical Journal, 34:43-52, 1982.
8. S. Karanasios and D. Pappas. Generalized inverses and special type operator algebras. Facta Universitatis(NIS), Series Mathematics and Informatics, 21:41-48, 2006.
9. MATLAB v. 7.1, Help Browser.
10. MATLAB User's Guide, The MathWorks Inc.
11. M.A. Rakha. On the Moore-Penrose generalized inverse matrix. Applied Mathematics and Computation, 158:185-200, 2004.
12. J. Ringrose. Compact non self adjoint operators. Van Nostrand London 1971.