show/hide this revision's text 2 clarified the question and fixed typo

Possible to analytically derive SD SVD or PD of a given matrix or give as a formula?

Is it possible to analytically derive SD 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.

    Post Closed as "not a real question" by Igor Rivin, Denis Serre, S. Sra, George Lowther, Yemon Choi

show/hide this revision's text 1

Possible to analytically derive SD or PD of a given matrix or give as a formula?

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