Lucas Numbers and Determinants
Copyright policy )Lucas Numbers and Determinants
Abstract.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
- K.N.Toosi University of Technology Iran (Islamic Republic of)
- Institute for Research in Fundamental Sciences Iran (Islamic Republic of)
nonhomogeneous recurrence relation, Fibonacci and Lucas numbers and polynomials and generalizations, Determinants, permanents, traces, other special matrix functions, Toeplitz matrix, Matrices, determinants in number theory, determinant, matrix factorization, Lucas sequence, Matrices of integers, Factorization of matrices, principal minor
nonhomogeneous recurrence relation, Fibonacci and Lucas numbers and polynomials and generalizations, Determinants, permanents, traces, other special matrix functions, Toeplitz matrix, Matrices, determinants in number theory, determinant, matrix factorization, Lucas sequence, Matrices of integers, Factorization of matrices, principal minor
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