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Do matrices of the form $A^\ast A$ where $A$ has entries in $R\subset\Bbb C$ account for all...

Let $R$ be a subring of $\Bbb C$ closed under complex conjugation and let $P$ be an $n\times n$ positive semidefinite matrix with entries in $R$. I'm curious if it is always possible to factor $P$ as …
Brian Fitzpatrick's user avatar