TITLE:
A New Algorithm for Computing the Determinant and the Inverse of a Pentadiagonal Toeplitz Matrix
AUTHORS:
Yuehui Chen
KEYWORDS:
Pentadiagonal Matrix; Toeplitz Matrix; Determinant; Nonsingular; Inverse
JOURNAL NAME:
Engineering,
Vol.5 No.5A,
May
24,
2013
ABSTRACT: An effective numerical algorithm for computing the determinant of a pentadiagonal Toeplitz matrix has been proposed by Xiao-Guang Lv and others [1]. The complexity of the algorithm is (9n + 3). In this paper, a new algorithm with the cost of (4n + 6) is presented to compute the determinant of a pentadiagonal Toeplitz matrix. The inverse of a pentadiagonal Toeplitz matrix is also considered.