Eigenvalues of tridiagonal pseudo-Toeplitz matrices

Devadatta Kulkarni (1) , Darrell Schmidt (1) , Sze-Kai Tsui (1)

1 Oakland University

In this article we determine the eigenvalues of sequences of tridiagonal matrices that contain a Toeplitz matrix in the upper left block.

Mots clés: Eigenvalues; Toeplitz matrices; Tridiagonal matrices; Chebyshev polynomials

Domaines: Mathématiques [math]

Devadatta Kulkarni, Darrell Schmidt, Sze-Kai Tsui. Eigenvalues of tridiagonal pseudo-Toeplitz matrices. Linear Algebra and its Applications, 1999, 297, pp.63-80. ⟨10.1016/S0024-3795(99)00114-7⟩. ⟨hal-01461924⟩