Suppose it is known that a matrix $M \in \mathbb{C}^{n \times n}$ has a factorization of the form $M=UT$, where $U,T \in \mathbb{C}^{n \times n}$ and $U$ is unitary and $M$ is Toeplitz. Is it possible to explicitly compute such matrices $U$ and $T$, and if so how? Thank you very much.
2026-02-22 23:35:12.1771803312
Unitary transformation to a Toeplitz matrix
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