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# PEPQARNOLDI

PEPQARNOLDI = “qarnoldi” - The Quadratic Arnoldi method (Q-Arnoldi) for quadratic eigenvalue problems.

## Notes

This solver is available for quadratic eigenproblems only.

It implements the Q-Arnoldi method [Meerbergen, 2009], which is not guaranteed to be numerically stable. Users should prefer `PEPTOAR`, which provides a similar algorithm with guaranteed numerical stability.

## References

[Mee09]

K. Meerbergen. The Quadratic Arnoldi method for the solution of the quadratic eigenvalue problem. SIAM J. Matrix Anal. Appl., 30(4):1463–1482, 2009. doi:10.1137/07069273x.

## See Also

PEP: Polynomial Eigenvalue Problems, `PEP`, `PEPType`, `PEPSetType()`

## Level

beginner

## Location

src/pep/impls/krylov/qarnoldi/qarnoldi.c

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