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Nonlinear Analysis: Modelling and Control, 2006, Vol. 11, No. 2, 123136 The SVD-Fundamental Theorem of Linear Algebra
 

Summary: Nonlinear Analysis: Modelling and Control, 2006, Vol. 11, No. 2, 123136
The SVD-Fundamental Theorem of Linear Algebra
A. G. Akritas1
, G. I. Malaschonok2
, P. S. Vigklas1
1
Department of Computer and Communication Engineering, University of Thessaly
GR-38221 Volos, Greece
{akritas, pviglas}@uth.gr
2
Laboratory for Algebraic Computations, Tambov State University
Internatsionalnaya st. 33, 392622 Tambov, Russia
malaschonok@math-iu.tstu.ru
Received: 10.01.2006 Revised: 06.05.2006 Published online: 18.05.2006
Abstract. Given an mn matrix A, with m n, the four subspaces associated
with it are shown in Fig. 1 (see [1]).
Fig. 1. The row spaces and the nullspaces of A and AT
; a1 through an and
h1 through hm are abbreviations of the alignerframe and hangerframe vectors
respectively (see [2]).

  

Source: Akritas, Alkiviadis G. - Department of Computer and Communication Engineering, University of Thessaly

 

Collections: Computer Technologies and Information Sciences