Some New Algebraic and Topological Properties of the Minkowski Inverse in the Minkowski Space
Joint Authors
al-Zhour, Zeyad
Zekraoui, Hanifa
Ozel, Cenap
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-29
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
We introduce some new algebraic and topological properties of the Minkowski inverse A⊕ of an arbitrary matrix A∈Mm,n (including singular and rectangular) in a Minkowski space μ.
Furthermore, we show that the Minkowski inverse A⊕ in a Minkowski space and the Moore-Penrose inverse A+ in a Hilbert space are different in many properties such as the existence, continuity, norm, and SVD.
New conditions of the Minkowski inverse are also given.
These conditions are related to the existence, continuity, and reverse order law.
Finally, a new representation of the Minkowski inverse A⊕ is also derived.
American Psychological Association (APA)
Zekraoui, Hanifa& al-Zhour, Zeyad& Ozel, Cenap. 2013. Some New Algebraic and Topological Properties of the Minkowski Inverse in the Minkowski Space. The Scientific World Journal،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1033286
Modern Language Association (MLA)
Zekraoui, Hanifa…[et al.]. Some New Algebraic and Topological Properties of the Minkowski Inverse in the Minkowski Space. The Scientific World Journal No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-1033286
American Medical Association (AMA)
Zekraoui, Hanifa& al-Zhour, Zeyad& Ozel, Cenap. Some New Algebraic and Topological Properties of the Minkowski Inverse in the Minkowski Space. The Scientific World Journal. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1033286
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033286