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An algorithm for the solution of a third-order eigenvalue problem

✍ Scribed by G. S. Schajer; C. D. Mote Jr.

Publisher
John Wiley and Sons
Year
1980
Tongue
English
Weight
302 KB
Volume
15
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

A simple, rapidly convergent procedure is described for solving a third‐order symmetric eigenvalue problem Au = λ Bu typically arising in vibration analysis. The eigenvalue problem is represented in terms of its variational dual, the Rayleigh quotient, and the eigenosolution is obtained through a topographical search for points of quotient stationarity. The associated computer routine is compact and can easily be incorporated within the calling program. Degenerate eigensolutions cause no difficulty. An example FORTRAN routine is given.

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