Publication Type : Journal Article
Publisher : International Journal of Recent Trends in Engineering,
Source : International Journal of Recent Trends in Engineering, Volume 2, Number 1 (2009)
Url : http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.381.8563&rep=rep1&type=pdf
Campus : Coimbatore
School : School of Engineering
Center : Computational Engineering and Networking
Department : Electronics and Communication
Year : 2018
Abstract : — In this paper we describe the geometrical
interpretation of SVD based on the Pythagoras
Theorem and optimization theory. SVD is a technique
which factorizes matrix A into three matrices U,∑,V,
such that T A = U ∑V . The aim of this paper is to
provide an easy way to understand SVD by using
Pythagoras Theorem. SVD has variety of applications
in engineering, chemistry, ecology, geology, geophysics,
biomedical, scientific computing, automatic control,
astro physics and many other areas. Newer
applications of SVD are being pursued. Here we
mention some successful applications of SVD and the
concept of Higher Order Singular Value
Decomposition (HOSVD) and its applications.
Cite this Research Publication : S. T. Soman, SoumyaV., J., and Dr. Soman K. P., “Singular Value Decomposition A Classroom Approach”, International Journal of Recent Trends in Engineering, vol. 2, 2009.