Is there a special terminology to describe a matrix of the following form in $\mathbb{C}^{4\times 4}$ or more generally $\mathbb{C}^{N\times N}$?
$\begin{bmatrix} a & b & b & b \\ b & a & b & b \\ b & b & a & b \\ b & b & b & a \end{bmatrix}$
I initially wanted to refer to such matrices as symmetric and circulant, however, there are symmetric and circulant matrices that do not have the above form, how could I refer to matrices of the above form?
