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A circulant matrix is a square matrix where each row has the same elements as the previous row, cyclically rotated right by one element. It is a specific kind of a square Toeplitz matrix.

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Define circulant matrix using matrix-vector multiplication? [closed]

Does there exist a matrix $\mathbf{A}$ that takes any vector $\mathbf{v}\in \mathbb{R}^n$ into the circulant matrix $\mathbf{C}_{\mathbf v} = \mathbf{A}\mathbf{v} \in \mathbb{R}^{n\times n}$ construct …
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