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Title: The Lehmer matrix and its recursive analogue
Authors: Kılıç, E.
Stanic, P.
Issue Date: 2010
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.
ISSN: 0835-3026
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

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