I am looking to decompose a rectangular matrix $X$ into the product of an orthogonal matrix $U$ and a diagonal matrix $S$ i.e. X=$US$. Any possible solution?
2026-03-28 00:06:12.1774656372
Decomposition of a rectangular matrix
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perhaps only in for a particular type of matrix $X$, since $X=US$ requires $$ X^T X = (US)^T US = S^TU^TUS = S^T S $$ which is diagonal.