Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/9260
Title: ANALYTICALLY EXPLICIT INVERSE OF A KIND OF PERIODIC TRIDIAGONAL MATRIX USING A BACKWARD CONTINUED FRACTION APPROACH
Authors: Hopkins, T.
Kılıç, E.
Keywords: almost periodic tridiagonal matrix
backward continued fraction
LU-Factorization
Matrix inversion
Issue Date: 2022
Publisher: Wilmington Scientific Publisher
Abstract: We present a fast algorithm for generating the inverse and the determinant of an extended, periodic, tridiagonal matrix. We use backward continued fractions to generate the elements of the inverse in closed form. By trading memory use against the cost of repeating the computation of certain quantities we are able to produce an effective procedure for a symbolic algebra implementation. We compare the performance of our Maple implementation with that of the standard Maple library procedures for matrix inversion and computation of the determinant on a set of illustrative example matrices. © 2022, Wilmington Scientific Publisher. All rights reserved.
URI: https://doi.org/10.11948/20210441
https://hdl.handle.net/20.500.11851/9260
ISSN: 2156-907X
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

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