Determinant for the cyclic heptadiagonal matrices with Toeplitz structure

In this paper, we extend two efficient computational algorithms for the determinant evaluation of general cyclic heptadiagonal matrices with Toeplitz structure. We try to design two numerical algorithms by a certain type of matrix reordering in matrix partition and another algorithm by using the transformation of a block upper triangular transformation for the cyclic heptadiagonal Toeplitz matrices. The cost of these algorithms is about 11n+O(logn) for computing nth order cyclic heptadiagonal Toeplitz determinants. Some numerical experiments are presented to demonstrate the performance and effectiveness of the proposed algorithms with other published algorithms.