A novel deflation technique for solving quadratic eigenvalue problems. (English) Zbl 1291.15024
The paper describes an explicit non-equivalence low-rank deflation technique for solving large-scale quadratic eigenvalue problems. The algorithm proposed by the authors is based on the quadratic Jacobi-Davidson algorithm, and transforms the smallest eigenvalue to infinity, while all other eigenvalues remain unchanged.
Reviewer: Constantin Popa (Constanţa)
MSC:
15A18 | Eigenvalues, singular values, and eigenvectors |
47A15 | Invariant subspaces of linear operators |
47J10 | Nonlinear spectral theory, nonlinear eigenvalue problems |
65F15 | Numerical computation of eigenvalues and eigenvectors of matrices |