The inverse of bisymmetric matrices

An n×n matrix A=(aij) is called a bisymmetric matrix if aij=aji and aij=an+1-j,n+1-i(i,j=1,2,…,n) . In this paper, we show that the inverse of bisymmetric matrix can be represented by recurrence formulas. First, we obtain an explicit inverse formula of bisymmetric matrices. Second, a recurrence algorithm for the inverse is given. Finally, an example is provided to verify the feasibility of the algorithms.