### 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.

Original language | English |
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Pages (from-to) | 531-535 |

Number of pages | 5 |

Journal | International Journal of Control |

Volume | 72 |

Issue number | 6 |

Publication status | Published - 15 Apr 1999 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Control and Systems Engineering
- Computer Science Applications

### Cite this

*International Journal of Control*,

*72*(6), 531-535.

**Generalized eigenvalue problem for tridiagonal symmetric interval matrices.** / El-Gebeily, M. A.; Abu-Baker, Y.; Elgindi, Mohamed.

Research output: Contribution to journal › Article

*International Journal of Control*, vol. 72, no. 6, pp. 531-535.

}

TY - JOUR

T1 - Generalized eigenvalue problem for tridiagonal symmetric interval matrices

AU - El-Gebeily, M. A.

AU - Abu-Baker, Y.

AU - Elgindi, Mohamed

PY - 1999/4/15

Y1 - 1999/4/15

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0033300926&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033300926&partnerID=8YFLogxK

M3 - Article

VL - 72

SP - 531

EP - 535

JO - International Journal of Control

JF - International Journal of Control

SN - 0020-7179

IS - 6

ER -