EPSGD

EPSGD = “gd” - The generalized Davidson method.

Notes

This is a preconditioned eigensolver, that is, it may be competitive when computing interior eigenvalues in case the shift-and-invert spectral transformation is too costly and a good preconditioner is available.

The implemented method is Generalized Davidson, where any PC preconditioner can be used, in contrast to the original Davidson method that used a diagonal preconditioner.

The preconditioner is specified via the internal ST object and its associated KSP.

Details of the implementation are described in [Romero and Roman, 2014].

References

[Rom14]

E. Romero and J. E. Roman. A parallel implementation of Davidson methods for large-scale eigenvalue problems in SLEPc. ACM Trans. Math. Software, 40(2):13:1–13:29, 2014. doi:10.1145/2543696.

See Also

EPS: Eigenvalue Problem Solver, EPS, EPSType, EPSSetType(), EPSGetST()

Level

beginner

Location

src/eps/impls/davidson/gd/gd.c

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