The generalized eigenvalue problem for tridiagonal symmetric interval matrices
- 1 January 1999
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 72 (6) , 531-535
- https://doi.org/10.1080/002071799220966
Abstract
An algorithm to compute the eigenintervals of the generalized eigenvalue problem for tridiagonal symmetric matrices (A,B) with interval entries is developed. The algorithm is based on the Sturm Sequences and requires twice as much computational effort as for point matrices. The algorithm is applied to the problem of computing the natural frequencies of a vibrating beam where the manufacturing tolerance is taken into consideration.Keywords
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