The properties and applications of 2n order real symmetric recurrent matrices
Taking even order as the starting point,using the method of matrix partitioning,a 2n order real symmetric cyclic matrix can be partitioned into block wise fully symmetric matrices.There exists an orthogonal matrix that can quasi diagonalize 2n order real symmetric cyclic matrices.A simple formula for calculating the determinant,inverse matrix,and eigenvalues of a 2n order real symmetric recurrent matrix.