## Abstract Rayleigh quotient iteration is an iterative method with some attractive convergence properties for finding (interior) eigenvalues of large sparse Hermitian matrices. However, the method requires the accurate (and, hence, often expensive) solution of a linear system in every iteration st
Controlling Inner Iterations in the Jacobi–Davidson Method
✍ Scribed by Hochstenbach, Michiel E.; Notay, Yvan
- Book ID
- 118211856
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2009
- Tongue
- English
- Weight
- 357 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0895-4798
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The correction equation in the Jacobi-Davidson method is effective in a subspace orthogonal to the current eigenvector approximation, whereas for the continuation of the process only vectors orthogonal to the search subspace are of importance. Such a vector is obtained by orthogonalizing the (approx
Continuation methods are well-known techniques for computing several stationary solutions of problems involving one or more physical parameters. In order to determine whether a stationary solution is stable, and to detect the bifurcation points of the problem, one has to compute the rightmost eigenv