Sparsity Preserving Computation for Spectral Projectors

Yetkin E. F., DAĞ H.

International Conference on Applied Mathematics, Modeling and Computational Science (AMMCS), Waterloo, Canada, 25 - 29 July 2011, vol.1368 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1368
  • Doi Number: 10.1063/1.3663510
  • City: Waterloo
  • Country: Canada
  • Istanbul Technical University Affiliated: Yes


Several areas of applications, such as model order reduction, preconditioner design, and eigenvalue problems for spectral projectors can be found in the literature. In this paper, a fast and sparsity preserving approach for computing the spectral projectors is proposed. The suggested approach can be used in both Newton iteration and integral representation based methods. A comparison of the original and the suggested approaches in terms of computation time, sparsity preservation and accuracy is presented in this paper.