NEPNARNOLDI

NEPNARNOLDI = “narnoldi” - Nonlinear Arnoldi method.

Notes

This solver implements the N-Arnoldi method [Voss, 2004], a projection method using an expanding subspace formed with the RII iterate vectors. Hence there are similarities with NEPRII. Call NEPNArnoldiGetKSP() to configure the linear solver, and NEPNArnoldiSetLagPreconditioner() to reduce the cost of updating the preconditioner.

The solver incorporates deflation, so that several eigenpairs con be computed. Details of the implementation in SLEPc can be found in [Campos and Roman, 2021].

References

[Cam21]

C. Campos and J. E. Roman. NEP: a module for the parallel solution of nonlinear eigenvalue problems in SLEPc. ACM Trans. Math. Software, 47(3):23:1–23:29, 2021. doi:10.1145/3447544.

[Vos04]

H. Voss. An Arnoldi method for nonlinear eigenvalue problems. BIT, 44(2):387–401, 2004. doi:10.1023/B:BITN.0000039424.56697.8b.

See Also

NEP: Nonlinear Eigenvalue Problems, NEP, NEPType, NEPSetType(), NEPNArnoldiGetKSP(), NEPNArnoldiSetLagPreconditioner()

Level

beginner

Location

src/nep/impls/narnoldi/narnoldi.c

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