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