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# 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

Index of all EPS routines Table of Contents for all manual pages Index of all manual pages