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International Journal of

Recent Trends in Engineering

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International Journal of Recent Trends in Engineering (IJRTE)

ISSN 1797-9617

Volume 1, Number 2, May 2009

Issue on Computer Science

Page(s): 179-182

Singular Value Decomposition A Classroom Approach

Soumya T Soman, Soumya V.J, Soman K.P

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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 A=UVT . 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.

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