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):

Report Date:

2010-01-01

Pagination or Media Count:

14.0

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 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.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE