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Singular Value Decomposition

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Abstract:

We study the SVD of an arbitrary matrix Anxm, especially its subspaces of activation, which leads in natural manner to pseudoinverse of Moore-Bjenhammar-Penrose. Besides, we analyze the compatibility of linear systems and the uniqueness of the corresponding solution, and our approach gives the Lanczos classification for these systems.

Info:

Periodical:
The Bulletin of Society for Mathematical Services and Standards (Volume 11)
Pages:
13-20
DOI:
https://doi.org/10.18052/www.scipress.com/BSMaSS.11.13
Citation:
J.H. Caltenco et al., "Singular Value Decomposition", The Bulletin of Society for Mathematical Services and Standards, Vol. 11, pp. 13-20, 2014
Online since:
Sep 2014
Authors:
J.H. Caltenco, José Luis Lopez-Bonilla, B.E. Carvajal-Gámez, P. Lam-Estrada
Keywords:
Compatibility of Linear Systems, Pseudoinverse of a Matrix, SVD
Export:
RIS, BibTeX, Text
Distribution:
Open Access

Creative Commons License
This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

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