Singular Factorization of an Arbitrary Matrix

Authors

  • Gyan Bahadur Thapa Pulchowk Campus, Institute of Engineering, Tribhuvan University, Kathmandu
  • P. Lam-Estrada ESFM-IPN, Depto. de Matemáticas, Edif. 9, Col. Lindavista
  • J. López-Bonilla ESIME-Zacatenco, Instituto Politécnico Nacional (IPN), Edif

DOI:

https://doi.org/10.3126/jie.v12i1.16728

Keywords:

SVD, Compatibility of linear systems, Pseudo inverse of a matrix

Abstract

In this paper, we study the Singular Value Decomposition of an arbitrary matrix Anxm, especially its subspaces of activation, which leads in natural manner to the pseudo inverse 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.

Journal of the Institute of Engineering, 2016, 12(1): 77-86 

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Published

2017-03-06

How to Cite

Thapa, G. B., Lam-Estrada, P., & López-Bonilla, J. (2017). Singular Factorization of an Arbitrary Matrix. Journal of the Institute of Engineering, 12(1), 77–86. https://doi.org/10.3126/jie.v12i1.16728

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