Summary
A simple test is given for determining whether a given matrix is the eigenvector matrix of an (unknown) unreduced symmetric tridiagonal matrix. A list of known necessary conditions is also provided. A lower bound on the separation between eigenvalues of tridiagonals follows from our Theorem 3.
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Dedicated to Professor F.L. Bauer on the occasion of his 60th birthday
The first author gratefully acknowledges support from ONR Contract N00014-76-C-0013
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Parlett, B.N., Wu, W.D. Eigenvector matrices of symmetric tridiagonals. Numer. Math. 44, 103–110 (1984). https://doi.org/10.1007/BF01389758
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DOI: https://doi.org/10.1007/BF01389758