SVD of Matrix in summation form

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umair
umair 2014-5-2
回答： umair 2014-5-2
Kindly see the picture above , How can I represent the SVD of a matrix as a summation form ? I cannot seem to get it. It says that alternatively it can be in summation form. If I calculate the SVD by the summation form how will I go about it ?
What will be si,ui and vi for N =1,2,3,N ?
  • More specifically I want to ask What will be si,ui and vi for N =1,2,3,......N ? for N = 1 , what will be the size of si , ui and vi ( assuming that priciple U,S,V matrices ( which came as a result of [U S V] = svd(my_image) ) were all 512*512) *
Looking forward for responses.

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umair
umair 2014-5-2
can anybody shed light on it please ?!

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