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Computation of Derivatives of Repeated Eigenvalues and the Corresponding Eigenvectors of Symmetric Matrix Pencils

✍ 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

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πŸ“œ SIMILAR VOLUMES


Computation of eigenvalues and eigenvect
✍ David J. Evans πŸ“‚ Article πŸ“… 1977 πŸ› Elsevier Science 🌐 English βš– 556 KB

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

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## Abstract In this paper, we investigate the computation of the first‐order derivatives of complex eigenvectors for general non‐defective eigensystems. A new normalization condition is proposed, with which we can compute unique first‐order derivatives of arbitrary differentiable eigenvectors of sy