Accession Number : ADA576066


Title :   The Inverse of Banded Matrices


Descriptive Note : Journal article


Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CA DEPT OF APPLIED MATHEMATICS


Personal Author(s) : Kilic, Emrah ; Stanica, Pantelimon


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a576066.pdf


Report Date : Jan 2013


Pagination or Media Count : 11


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 Br,n (1 less than or equal to r less than or equal to n) be an n x n matrix of entries {ai sub j}, -r less than or equal to r, 1 less than or equal to j less than or equal to 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 Br,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 Br,n.


Descriptors :   *INVERSE PROBLEMS , MATRICES(MATHEMATICS) , REPRINTS


Subject Categories : Theoretical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE