Analytic Results for the Eigenvalues of Certain Tridiagonal Matrices

  title={Analytic Results for the Eigenvalues of Certain Tridiagonal Matrices},
  author={Allan R. Willms},
  journal={SIAM J. Matrix Anal. Appl.},
The eigenvalue problem for a certain tridiagonal matrix with complex coefficients is considered. The eigenvalues and eigenvectors are shown to be expressible in terms of solutions of a certain scalar trigonometric equation. Explicit solutions of this equation are obtained for several special cases, and further analysis of this equation in several other cases provides information about the distribution of eigenvalues. 

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