Computation of Derivatives of Repeated Eigenvalues and the Corresponding Eigenvectors of Symmetric Matrix Pencils
β Scribed by Andrew, Alan L.; Tan, Roger C. E.
- Book ID
- 118216179
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1998
- Tongue
- English
- Weight
- 412 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0895-4798
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A recursive algorithm for the implicit derivation of the determinant of a symmetric quindiagonal matrix is developed in terms of its leading principal minors. The algorithm is shown to yield a Sturmian sequence of polynomials from which the eigenvalues can be obtained by use of the bisection process
## Abstract In this paper, we investigate the computation of the firstβorder derivatives of complex eigenvectors for general nonβdefective eigensystems. A new normalization condition is proposed, with which we can compute unique firstβorder derivatives of arbitrary differentiable eigenvectors of sy