Two algorithms for eigenvalue problems in piezoelectric finite element analyses are introduced. The first algorithm involves the use of Lanczos method with a new matrix storage scheme, while the second algorithm uses a Rayleigh quotient iteration scheme. In both solution methods, schemes are impleme
An algorithm for solution of large eigenvalue problems
β Scribed by Duc T. Nguyen; Jasbir S. Arora
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 540 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0045-7949
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## Abstract A simple, rapidly convergent procedure is described for solving a thirdβorder symmetric eigenvalue problem Au = Ξ» 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
In this paper, we propose an inexact inverse iteration method for the computation of the eigenvalue with the smallest modulus and its associated eigenvector for a large sparse matrix. The linear systems of the traditional inverse iteration are solved with accuracy that depends on the eigenvalue with