Algorithm for Solving the Symmetric Five-Diagonal Toeplitz Linear Equations

摘要

The symmetric five-diagonal Toeplitz system appears in many problems came from mathematics and applied science. In this paper, a method for solving the system is presented. The derivation of the result is principally based on a matrix split and a tridiagonal Toeplitz factorization of a symmetric five-diagonal Toeplitz matrix modified. The symmetric circulant five-diagonal Toeplitz system is also considered.