Preconditioned Eigensolvers for Large-Scale Nonlinear Hermitian Eigenproblems with Variational Characterizations. II. Interior Eigenvalues

@article{Szyld2015PreconditionedEF,
  title={Preconditioned Eigensolvers for Large-Scale Nonlinear Hermitian Eigenproblems with Variational Characterizations. II. Interior Eigenvalues},
  author={Daniel B. Szyld and Eugene Vecharynski and Fei Xue},
  journal={SIAM J. Scientific Computing},
  year={2015},
  volume={37}
}
We consider the solution of large-scale nonlinear algebraic Hermitian eigenproblems of the form T (λ)v = 0 that admit a variational characterization of eigenvalues. These problems arise in a variety of applications and are generalizations of linear Hermitian eigenproblems Av = λBv. In this paper, we propose a preconditioned locally minimal residual (PLMR) method for efficiently computing interior eigenvalues of problems of this type. We discuss the development of search subspaces… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 47 references

Preconditioned Eigensolvers for Large-Scale Nonlinear Hermitian Eigenproblems with Variational Characterizations

  • D. B. Szyld, F. Xue
  • I. Conjugate Gradient Methods, Research Report 14…
  • 2014
Highly Influential
8 Excerpts

Software for simplified Lanczos and QMR algorithms

  • R. W. Freund, N. M. Nachtigal
  • Appl. Numer. Math., 19
  • 1995
Highly Influential
2 Excerpts

Solution of sparse indefinite systems of linear equations

  • C. C. Paige, M. A. Saunders
  • SIAM J. Numer. Anal., 12
  • 1975
Highly Influential
2 Excerpts

Similar Papers

Loading similar papers…