Eigenvector matrices of symmetric tridiagonals (Q795129)
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scientific article; zbMATH DE number 3861339
| Language | Label | Description | Also known as |
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| English | Eigenvector matrices of symmetric tridiagonals |
scientific article; zbMATH DE number 3861339 |
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Eigenvector matrices of symmetric tridiagonals (English)
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1984
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A simple test is given for determining whether a given matrix Q (which may be taken to be orthogonal) is the eigenvector matrix of some unreduced symmetric tridiagonal matrix. A list of known necessary conditions is provided, and a bound on the number of zeros in a row of such a Q is given in the final section along with a result connecting eigenvalue separation in tridiagonals and the top row of the normalized eigenvector matrix.
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unreduced symmetric tridiagonal matrix
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eigenvalue separation
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normalized eigenvector matrix
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