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# EPSJD

EPSJD = “jd” - The Jacobi-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 Jacobi-Davidson [Sleijpen and van der Vorst, 2000], which may be preferred to Generalized Davidson in difficult problems.

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.

[Sle00]

G. L. G. Sleijpen and H. A. van der Vorst. A Jacobi–Davidson iteration method for linear eigenvalue problems. SIAM Rev., 42(2):267–293, 2000. doi:10.1137/S0036144599363084.

## See Also

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

## Level

beginner

## Location

src/eps/impls/davidson/jd/jd.c

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