un oriented in the directors of the principal semi

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Unformatted text preview: §H§ ( ¥ A       ¡     !  ¦ ¡ i  F    ¦  ¨  ¤  F A ( &¥¨ !3  q%¦Q§%¨ ¥@Q0 @&!§¤ x‰)%¤§¤ §F%£¥£p " ( %&¦§§¨  §H§F 4 "§#¥@  ' Q  F   ' !      F  ¤ TA       F   C  ¤ ’    ¨ ¦ #66"¡ ! !¥E¡C QF3¥F %&¦§§%¨¢ §¤ §F6¥¡ ¥  Il§FPQ$¡ ˆS  %)I    & $¡P§¤ “ Let S be the unit sphere in IRn and any A ∈ IRm×n with m ≥ n and ran(A) = n. The image AS is a hyperellipse in IRm The n singular values of A, σ1 , σ2 , . . . , σn , are the lengths of the n principal semi-axes of AS , where σ1 ≥ σ2 ≥ ... ≥ σn > 0 The n left singular vectors of A are the unit vectors {u1...
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This document was uploaded on 02/10/2014.

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