Open Access
Issue
ESAIM: M2AN
Volume 59, Number 4, July-August 2025
Page(s) 2081 - 2109
DOI https://doi.org/10.1051/m2an/2025048
Published online 24 July 2025
  1. G. Gaeta, Perturbation Theory: Mathematics, Methods and Applications. Springer Nature (2023). [Google Scholar]
  2. T. Kato, Perturbation Theory for Linear Operators, 2nd edition. Springer (1995). [Google Scholar]
  3. M. Levitin and L. Parnovski, Commutators, spectral trace identities, and universal estimates for eigenvalues. J. Func. Anal. 192 (2002) 425–445. [Google Scholar]
  4. M. Lewin, Spectral Theory and Quantum Mechanics. Springer Cham (2024). [Google Scholar]
  5. J.A. Murdock, Perturbations: Theory and Methods. SIAM (1999). [Google Scholar]
  6. É. Polack, A. Mikhalev, G. Dusson, B. Stamm and F. Lipparini, An approximation strategy to compute accurate initial density matrices for repeated self-consistent field calculations at different geometries. Mol. Phys. 118 (2020) e1779834. [Google Scholar]
  7. E. Polack, G. Dusson, B. Stamm and F. Lipparini, Grassmann extrapolation of density matrices for Born–Oppenheimer molecular dynamics. J. Chem. Theory Comput. 17 (2021) 6965–6973. [Google Scholar]
  8. M. Reed and B. Simon, Methods of Modern Mathematical Physics. II. Fourier Analysis, Self-Adjointness. Academic Press, New York (1975). [Google Scholar]
  9. M. Reed and B. Simon, Methods of Modern Mathematical Physics. IV. Analysis of Operators. Academic Press, New York (1978). [Google Scholar]
  10. G. Dusson, L. Garrigue and B. Stamm, A multipoint perturbation formula for eigenvalue problems (2025). Code Github repository https://github.com/lgarrigue/multipoint_perturbation and on Zenodo https://doi.org/10.5281/zenodo.7929850. [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.

Recommended for you