Sensitivities of eigenvalues and eigenvectors of problems nonlinear in the eigenparameter
โ Scribed by Alan L. Andrew; K.W.Eric Chu; Peter Lancaster
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 291 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
The eigenvalue problem L(p, X)x = 0 is considered, where the matrix L depends analytically on the eigenvalue X and a vector parameter p. Some results on the existence and the numerical computation of partial derivatives of eigenvalues X and eigenvectors x with respect to the components of p are announced and discussed. Proofs will appear elsewhere.
๐ SIMILAR VOLUMES
In this paper a noniterative algorithm to be used for the analytical determination of the sorted eigenvalues and corresponding orthonormalized eigenvectors obtained by diffusion tensor magnetic resonance imaging (DT-MRI) is described. The algorithm uses the three invariants of the raw water spin sel