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EVALUATING SOME DETERMINANTS OF MATRICES WITH RECURSIVE ENTRIES
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 Title & Authors
EVALUATING SOME DETERMINANTS OF MATRICES WITH RECURSIVE ENTRIES
Moghaddamfar, Ali Reza; Salehy, Seyyed Navid; Salehy, Seyyed Nima;
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 Abstract
Let = (,...) and = (,...) be two sequences with = and k and n be natural numbers. We denote by the matrix of order n with coefficients by setting = = for 1 i n and 2,3,4,..., k + 1 (mod 2k) k + 2,..., 2k + 1 (mod 2k) for 2 i, j n. The aim of this paper is to study the determinants of such matrices related to certain sequence and and some natural numbers k.
 Keywords
determinant;LU-factorization;recurrence relation;
 Language
English
 Cited by
1.
The determinants of matrices constructed by subdiagonal, main diagonal and superdiagonal, Lobachevskii Journal of Mathematics, 2010, 31, 3, 295  crossref(new windwow)
 References
1.
R. Bacher, Determinants of matrices related to the Pascal triangle, J. Theor. Nombres Bordeaux 14 (2002), no. 1, 19–41

2.
C. Krattenthaler, Advanced determinant calculus, Sem. Lothar. Combin. 42 (1999), Art. B42q, 67 pp

3.
C. Krattenthaler, Evaluations of some determinants of matrices related to the Pascal triangle, Sem. Lothar. Combin. 47 (2001/02), Art. B47g, 19 pp