The generalized eigenvalue problem for tridiagonal symmetric interval matrices

M. A. El-Gebeily; Y. Abu-Baker; M. B. Elgindi

doi:10.1080/002071799220966

The generalized eigenvalue problem for tridiagonal symmetric interval matrices

M. A. El-Gebeily^*
, Y. Abu-Baker
, M. B. Elgindi

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

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
Pages (from-to)	531-535
Number of pages	5
Journal	International Journal of Control
Volume	72
Issue number	6
DOIs	https://doi.org/10.1080/002071799220966
State	Published - 1 Jan 1999

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1080/002071799220966

Cite this

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title = "The generalized eigenvalue problem for tridiagonal symmetric interval matrices",

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.",

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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.

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DO - 10.1080/002071799220966

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JO - International Journal of Control

JF - International Journal of Control

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The generalized eigenvalue problem for tridiagonal symmetric interval matrices

Abstract

ASJC Scopus subject areas

UN SDGs

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