Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/7655
Title: The inverse of banded matrices
Authors: Kılıç, Emrah
Stanica, Pantelimon
Keywords: Triangular matrix
Hessenberg matrix
Inverse
r-banded matrix
Issue Date: 2013
Publisher: Elsevier Science Bv
Abstract: The inverses of r-banded matrices, for r = 1, 2, 3 have been thoroughly investigated as one can see from the references we provide. Let B-r,B- n(1 <= r <= n) be an n x n matrix of entries {a(j)(i)}, -r <= I <= r, 1 <= j <= r, with the remaining un-indexed entries all zeros. In this paper, generalizing a method of Mallik (1999) [5], we give the LU factorization and the inverse of the matrix B-r,B- n (if it exists). Our results are valid for an arbitrary square matrix (taking r = n), and so, we will give a new approach for computing the inverse of an invertible square matrix. Our method is based on Hessenberg submatrices associated to B-r,B-n. (c) 2012 Elsevier B.V. All rights reserved.
URI: https://doi.org/10.1016/j.cam.2012.07.018
https://hdl.handle.net/20.500.11851/7655
ISSN: 0377-0427
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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