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https://hdl.handle.net/20.500.11851/5999
Title: | The Lehmer Matrix and Its Recursive Analogue |
Authors: | Kılıç, E. Stanic, P. |
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. |
URI: | https://hdl.handle.net/20.500.11851/5999 |
ISSN: | 0835-3026 |
Appears in Collections: | Matematik Bölümü / Department of Mathematics Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection |
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