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.