This paper summarises the authors' previous e!ort on inverse eigenvalue problem for linear vibrating systems described by a vector di!erential equation with constant coe$cient matrices and non-proportional damping. The inverse problem of interest here is that of determining real symmetric coe$cient
A matrix inverse eigenvalue problem and its application
โ Scribed by Nian Li
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 480 KB
- Volume
- 266
- Category
- Article
- ISSN
- 0024-3795
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โฆ Synopsis
The problem of generating a matrix A with specified eigenvalues, which maps a given set of vectors of another given set, is presented. An existence theorem is given and proved. A stable algorithm for producing the matrix A is discussed. The relation between this problem and the pole assignment problem in control theory is investigated. The application of this problem in the design of neural networks is discussed.
๐ SIMILAR VOLUMES
This paper investigates the properties of eigenvalues and eigenvectors of a matrix A= 0 I c-II? c-l I 1 of order 2 N, where 1 is a symmetric tridiagonal real matrix of order N, R and C arr positive diagonal matrices of order N, and I is the identity matrix. The obtained results are then used to solv