Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/6684
Title: Explicit formula for the inverse of a tridiagonal matrix by backward continued fractions
Authors: Kılıç, Emrah
Keywords: tridiagonal matrix
factorization
inverse
backward continued fraction
Issue Date: 2008
Publisher: Elsevier Science Inc
Abstract: In this paper, we consider a general tridiagonal matrix and give the explicit formula for the elements of its inverse. For this purpose, considering usual continued fraction, we de. ne backward continued fraction for a real number and give some basic results on backward continued fraction. We give the relationships between the usual and backward continued fractions. Then we reobtain the LU factorization and determinant of a tridiagonal matrix. Furthermore, we give an efficient and fast computing method to obtain the elements of the inverse of a tridiagonal matrix by backward continued fractions. Comparing the earlier result and our result on the elements of the inverse of a tridiagonal matrix, it is seen that our method is more convenient, efficient and fast. (C) 2007 Published by Elsevier Inc.
URI: https://doi.org/10.1016/j.amc.2007.07.046
https://hdl.handle.net/20.500.11851/6684
ISSN: 0096-3003
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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