The Lehmer Matrix and Its Recursive Analogue
NAVAL POSTGRADUATE SCHOOL MONTEREY CA DEPT OF APPLIED MATHEMATICS
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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 ui1, uj1 max ui1, uj1 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.
- Numerical Mathematics