On Convergents Infinite Products and Some Generalized Inverses of Matrix Sequences
Joint Authors
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-19
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
The definition of convergence of an infinite product of scalars is extended to the infinite usual and Kronecker products of matrices.
The new definitions are less restricted invertibly convergence.
Whereas the invertibly convergence is based on the invertible of matrices; in this study, we assume that matrices are not invertible.
Some sufficient conditions for these kinds of convergence are studied.
Further, some matrix sequences which are convergent to the Moore-Penrose inverses A+ and outer inverses AT,S(2) as a general case are also studied.
The results are derived here by considering the related well-known methods, namely, Euler-Knopp, Newton-Raphson, and Tikhonov methods.
Finally, we provide some examples for computing both generalized inverses AT,S(2) and A+ numerically for any arbitrary matrix Am,n of large dimension by using MATLAB and comparing the results between some of different methods.
American Psychological Association (APA)
Kiliçman, Adem& al-Zhour, Zeyad. 2011. On Convergents Infinite Products and Some Generalized Inverses of Matrix Sequences. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-479570
Modern Language Association (MLA)
Kiliçman, Adem& al-Zhour, Zeyad. On Convergents Infinite Products and Some Generalized Inverses of Matrix Sequences. Abstract and Applied Analysis No. 2011 (2011), pp.1-20.
https://search.emarefa.net/detail/BIM-479570
American Medical Association (AMA)
Kiliçman, Adem& al-Zhour, Zeyad. On Convergents Infinite Products and Some Generalized Inverses of Matrix Sequences. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-479570
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479570