BSE solvers overview: Difference between revisions

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(1) diagonalization of the full Hamiltonian (diagonalization solver)  
(1) diagonalization of the full Hamiltonian (diagonalization solver)  


(2) subspace iterative [https://en.wikipedia.org/wiki/Lanczos_algorithm | Lanczos algorithm] which by-pass diagonalization with the Haydock approach<ref>R. Haydock, in
(2) subspace iterative [https://en.wikipedia.org/wiki/Lanczos_algorithm/| Lanczos algorithm] which by-pass diagonalization with the Haydock approach<ref>R. Haydock, in
  ''Solid State Phys.'', '''35''' 215 (1980) edited by H. Ehrenfest, F. Seitz, and D. Turnbull, Academic Press</ref> (Lanczos-Haydock solver)
  ''Solid State Phys.'', '''35''' 215 (1980) edited by H. Ehrenfest, F. Seitz, and D. Turnbull, Academic Press</ref> (Lanczos-Haydock solver)


(3) subspace iterative which provide the eigensolutions about a user-input-energy using the external [https://slepc.upv.es/|SLEPc library]<ref>V. Hernandez, J.E. Roman and V. Vidal in '' ACM Transactions on Mathematical Software'', '''31''' 315 (2005)</ref> (SLEPC solver)
(3) subspace iterative which provide the eigensolutions about a user-input-energy using the external [https://slepc.upv.es/| SLEPc library]<ref>V. Hernandez, J.E. Roman and V. Vidal in '' ACM Transactions on Mathematical Software'', '''31''' 315 (2005)</ref> (SLEPC solver)


For:  
For:  

Revision as of 16:17, 23 March 2021

Work in progress (please come back after 04/04/2021)

Three main solvers are available in Yambo:

(1) diagonalization of the full Hamiltonian (diagonalization solver)

(2) subspace iterative Lanczos algorithm which by-pass diagonalization with the Haydock approach[1] (Lanczos-Haydock solver)

(3) subspace iterative which provide the eigensolutions about a user-input-energy using the external SLEPc library[2] (SLEPC solver)

For:

(1)you should've already carry out the Bethe-Salpeter solver: diagonalization

(2) follow the link to Bethe-Salpeter solver: Lanczos-Haydock then return to this tutorial

(3) follow the link to Bethe-Salpeter solver: SLEPC then return to this tutorial

References

  1. ↑ R. Haydock, in Solid State Phys., 35 215 (1980) edited by H. Ehrenfest, F. Seitz, and D. Turnbull, Academic Press
  2. ↑ V. Hernandez, J.E. Roman and V. Vidal in ACM Transactions on Mathematical Software, 31 315 (2005)