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Y. H. Chen and C. Y. Yu, “A New Algorithm for Computing the Inverse and the Determinant of a Hessenbert Matrix,” Applied Mathematics and Computation, Vol. 218, 2011, pp. 4433-4436. doi:10.1016/j.amc.2011.10.022

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.