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Is it possible to analytically derive SVD or PD of a given matrix in terms of the matrix elements given as variables?

Edit: My apologies for not making the question clear. As someone pointed out, I meant Singular value decomposition for SVD (I missed V in SVD) and Polar Decomposition for PD.

And, as Igor said rightly, I am actually looking for an explicit analytical expression for the PD or SVD of a given matrix.

Thanks for tolerating me.

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 SD or PD=Sugar Daddy or Pimp Daddy? Voting to close until question is comprehensible. – Igor Rivin Sep 26 2011 at 20:31
PD = polar decomposition, SD = ?, What is allowed in "analytically deriv"ing? – Ricky Demer Sep 26 2011 at 20:48
I agree with Igor. If the OP can clarify the question then he should edit it, then flag for moderator attention to ask for re-opening – Yemon Choi Sep 28 2011 at 2:52
Dear John, thank you for editing your question. I'm afraid it still doesn't meet MO standards. Here are a few pointers: 1) you may consider avoiding acronyms altogether, 2) there is no need to explain your edits or apologize for your question, 3) you may want to add some motivation and context for your question. (What would you do with such an expression that you can't currently do?) – François G. Dorais♦ Oct 1 2011 at 22:57

closed as not a real question by Igor Rivin, Denis Serre, S. Sra, George Lowther, Yemon Choi Sep 28 2011 at 2:51

1 Answer

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polar decomposition scattering decomposition. idk how to derive them and my karma is too low to comment.

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 I guess idk = "I do know", or idk = "I don't know". This question and its comments read like a teenager's text messages. – Dan Piponi Sep 27 2011 at 0:04

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