Editor-in-Chief: Nathanson, Melvyn B. / Nešetril, Jaroslav / Pomerance, Carl
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1Department of Mathematics, K. N. Toosi University of Technology, P. O. Box 16315-1618, Tehran, and School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5746, Tehran, Iran
2Department of Mathematics, K. N. Toosi University of Technology, P. O. Box 16315-1618, Tehran, Iran
Citation Information: Integers. Volume 12, Issue 1, Pages 21–51, ISSN (Online) 1867-0652, ISSN (Print) 1867-0652, DOI: 10.1515/integ.2011.081, January 2012
Publication History:
In this article, we present two infinite dimensional matrices
whose entries are recursively defined, and show that the sequence
of their principal minors form the Lucas sequence, that is 
(2,1,3,4,7,...). It is worth mentioning that to construct
these matrices we use nonhomogeneous recurrence relations.
Keywords.: Determinant; Principal Minor; Matrix Factorization; Lucas Sequence; Nonhomogeneous Recurrence Relation; Toeplitz Matrix
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