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Something like

$$ A= \begin{bmatrix} a & b & c\\ b & d & e\\ c & e & f \end{bmatrix} $$

would be a symmetric matrix because the values are reflected along the diagonal, and $A=A^\intercal$

Is there a name for a matrix that's symmetric along the cross diagonal? Something like

$$ B= \begin{bmatrix} c & b & a\\ e & d & b\\ f & e & c \end{bmatrix} $$

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    $\begingroup$ You're right. I tried searching, but it's difficult to find without knowing the terminology in the first place. $\endgroup$
    – jonthalpy
    Commented Jun 23, 2016 at 20:43

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If Wikipedia is to be believed, then this is a persymmetric matrix.

From the linked article:

In mathematics, persymmetric matrix may refer to: 1. a square matrix which is symmetric in the northeast-to-southwest diagonal; or 2. a square matrix such that the values on each line perpendicular to the main diagonal are the same for a given line.

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  • $\begingroup$ The text cited actually gives two possible definitions, with only the first one being relevant in this case. $\endgroup$
    – Semiclassical
    Commented Jun 23, 2016 at 20:57

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