Decay Properties of Spectral Projectors with Applications to Electronic Structure

@article{Benzi2013DecayPO,
  title={Decay Properties of Spectral Projectors with Applications to Electronic Structure},
  author={Michele Benzi and Paola Boito and Nader Razouk},
  journal={SIAM Review},
  year={2013},
  volume={55},
  pages={3-64}
}
Motivated by applications in quantum chemistry and solid state physics, we apply general results from approximation theory and matrix analysis to the study of the decay properties of spectral projectors associated with large and sparse Hermitian matrices. Our theory leads to a rigorous proof of the exponential off-diagonal decay (“nearsightedness”) for the… CONTINUE READING