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.
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications