Several Classes Of Special Symplectic Matrices

In this paper, we mainly discussed the constructed problem of two special types of symplectic matrices. The first is symplectic 2k+1-diagonal matrix, and the second is symplectic Toeplitz matrix. In chapter 2, the criteria of symplectic 2k+1-diagonal matrix is presented and the explicit structure of the symplectic tridiagonal matrix is obtained . And in chapter 3, we first introduced a new expression of the Toeplitz matrix, then the structure of symplectic 2n-1-diagonal toeplitz matrix is investigated, and finally, we studied the symplectic r-circulant matrix.