Accession Number : ADA548860


Title :   The Lehmer Matrix and Its Recursive Analogue


Descriptive Note : Journal article


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


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


Full Text : http://www.dtic.mil/get-tr-doc/pdf?AD=ADA548860


Report Date : Jan 2010


Pagination or Media Count : 14


Abstract : This paper considers the Lehmer matrix and its recursive analogue. The determinant of Lehmer matrix is derived explicitly by both its LU and Cholesky factorizations. We further define a generalized Lehmer matrix with (i; j) entries gij = min {ui+1, uj+1} / max {ui+1, uj+1} where un is the nth term of a binary sequence {un}. We derive both the LU and Cholesky factorizations of this analogous matrix and we precisely compute the determinant.


Descriptors :   *MATRICES(MATHEMATICS) , ALGEBRA , RECURSIVE FUNCTIONS , REPRINTS


Subject Categories : Numerical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE