Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/804
Title: An analytical approach: Explicit inverses of periodic tridiagonal matrices
Authors: Hopkins, Tim
Kılıç, Emrah
29574
Keywords: Backward continued fraction
Inverse
LU-factorization
Matrix inversion
Issue Date: 1-Jun-2018
Publisher: Elsevier B. V.
Source: Hopkins, T., & Kılıç, E. (2018). An analytical approach: Explicit inverses of periodic tridiagonal matrices. Journal of Computational and Applied Mathematics, 335, 207-226.
Abstract: We derive an explicit formula for the inverse of a general, periodic, tridiagonal matrix. Our approach is to derive its LU factorization using backward continued fractions (BCF) which are an essential tool in number theory. We then use these formulae to construct an algorithm for inverting a general, periodic, tridiagonal matrix which we implement in Maple.1 Finally, we present the results of testing the efficiency of our new algorithm against another published implementation and against the library procedures available within Maple to invert a general matrix and to compute its determinant.
URI: https://doi.org/10.1016/j.cam.2017.11.038
https://hdl.handle.net/20.500.11851/804
ISSN: 377-0427
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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