A New Algorithm for Computing the Determinant and the Inverse of a Pentadiagonal Toeplitz Matrix - Engineering

ENG > Vol.5 No.5, May 2013

A New Algorithm for Computing the Determinant and the Inverse of a Pentadiagonal Toeplitz Matrix ()

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DOI: 10.4236/eng.2013.55A004 5,192 Downloads 7,969 Views Citations

Author(s)

Yuehui Chen

Affiliation(s)

Department of Mathematics and Information Science, Zhangzhou Normal University, Zhangzhou, China.

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.

KEYWORDS

Pentadiagonal Matrix; Toeplitz Matrix; Determinant; Nonsingular; Inverse

Share and Cite:

Y. Chen, "A New Algorithm for Computing the Determinant and the Inverse of a Pentadiagonal Toeplitz Matrix," Engineering, Vol. 5 No. 5A, 2013, pp. 25-28. doi: 10.4236/eng.2013.55A004.

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