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

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Author(s): Yuehui Chen

Journal: Engineering
ISSN 1947-3931

Volume: 05;
Issue: 05;
Start page: 25;
Date: 2013;
Original page

Keywords: Pentadiagonal Matrix | Toeplitz Matrix | Determinant | Nonsingular | Inverse

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.
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