Eigenvalues of complex tridiagonal matrices
Peter M. Gibson · Proceedings of the Edinburgh Mathematical Society · 1971
Results of Arscott (1) and Jayne (3) on real matrices are generalized to obtain bounds for the real parts of the eigenvalues of certain complex tridiagonal matrices, and bounds for the imaginary parts of the eigenvalues of other tridiagonal matrices are given. It is shown that analogous results hold for zeros of the permanent of certain characteristic matrices.