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J. M. McNally, “A Fast Algorithm for Solving Diagonally Dominant Symmetric Pentadiagonal Toeplitz Systems,” Journal of Computational and Applied Mathematics, Vol. 234, No. 4, 2010, pp. 995-1005. doi:10.1016/j.cam.2009.03.001

has been cited by the following article:

• 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.