Title: On the Norms of Toeplitz Matrices Involving Fibonacci and Lucas Numbers
Abstract:Let us define A = [aij] and B = [bij] as n × n Toeplitz matrices such that aij ≡ Fi j and bij ≡ Li j where F and L denote the usual Fibonacci and Lucas numbers, respectively. We have found upper and l...Let us define A = [aij] and B = [bij] as n × n Toeplitz matrices such that aij ≡ Fi j and bij ≡ Li j where F and L denote the usual Fibonacci and Lucas numbers, respectively. We have found upper and lower bounds for the spectral norms of these matrices.Read More