Explicit expression for powers of certain complex tridiagonal and some complex factorizations
1Department of Mathematics, Yildiz Technical University, Istanbul, 34220, Turkiye
Sigma J Eng Nat Sci 2339-2346 DOI: 10.14744/sigma.2026.2099
Abstract
In this study, we obtain the eigenvalues and eigenvectors of two tridiagonal matrices. We pres-ent a general expression of the power of the tridiagonal matrix we are considering. In addition, we have the complex factorizations of Fibonacci and Lucas polynomials, Fibonacci, Pell and Lucas numbers.
Keywords: Chebyshev Polynomial; Eigenvalues; Eigenvectors; Factorization of Matrices; Tridiagonal Matrix
