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# MFNKRYLOV

MFNKRYLOV = “krylov” - A restarted Krylov method for the application of a matrix function to a vector.

## Note

This solver builds Arnoldi approximations using \(f(H)\) for the Hessenberg matrix \(H\), and restarts by discarding the Krylov basis but keeping \(H\), as proposed by Eiermann and Ernst [2006].

## References

[Eie06]

M. Eiermann and O. G. Ernst. A restarted Krylov subspace method for the evaluation of matrix functions. SIAM J. Numer. Anal., 44(6):2481–2504, 2006. doi:10.1137/050633846.

## See Also

MFN: Matrix Function, `MFN`, `MFNType`, `MFNSetType()`

## Level

beginner

## Location

src/mfn/impls/krylov/mfnkrylov.c

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