الفهرس 
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Abstract
One of the basic and most important tools of modern numerical analysis, particularly numerical linear algebra, is the Singular Value Decomposition (SVn) of a general matrix [31]. SVD was established for real square matri¬ces in the 1870’s by Beltrami and Jordan [33], for complex square matrices by Auttone [5], and for general rectangular matrices by Eckart and Young [15] (the Auttone-Eckart_Young theorem). Computation of SVD is a highly non-trivial problem in numerical analysis [28], it was attacked in 1970
by Golub and Reinsch [22] and this was the first and only attempt [31]
up till now.