I have a symmetric matrix (square)($A$) with positive values and zero on its main diagonal. I need to find a matrix $Y$ which is:
$Y^TY = A$
I don't have any non-negativity constraint on the elements of $Y$. I know just a little about matrix factorization and most of the search results are about non-negative matrix factorization. It should be noted that I can't prove that $A$ is positive semi-definite or something like that to use eigen-vectors. Is there any keyword or solution which help me with the problem?