TITLE: Name of a special matrix
QUESTION [8 upvotes]: I have a matrix which is kind of symmetrical with the other diagonal, i.e., something like
$$A = \left[ \begin{array}{c c c c}
   a & b & c & d \\
   e & f & g & c \\
   h & i & f & b \\
   j & h & e & a
 \end{array} \right]$$
Does this matrix have a special name in literature? What are it's properties?
And a matrix that is symmetrical by both diagonals 
$$A = \left[ \begin{array}{c c c c}
   a & b & c & d \\
   b & e & f & c \\
   c & f & e & b \\
   d & c & b & a
 \end{array} \right]$$
What's the name of it? Any interesting properties?

REPLY [5 votes]: (Turning the comments into an answer)
Yes, the first matrix is persymmetric, and the second is bisymmetric.