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# NEPINTERPOL

NEPINTERPOL = “interpol” - Solve the nonlinear eigenvalue problem via polynomial interpolation.

## Note

This solver will approximate the nonlinear eigenvalue problem with a polynomial eigenvalue problem and use `PEP` to solve it. This is appropriate in nonlinear problems without singularities and whose eigenvalues are all real. The degree of the polynomial should generally be large, in which case a non-monomial representation such as Chebyshev should be used [Kressner and Roman, 2014].

## References

[Kre14]

D. Kressner and J. E. Roman. Memory-efficient Arnoldi algorithms for linearizations of matrix polynomials in Chebyshev basis. Numer. Linear Algebra Appl., 21(4):569–588, 2014. doi:10.1002/nla.1913.

## See Also

NEP: Nonlinear Eigenvalue Problems, `NEP`, `NEPType`, `NEPSetType()`, `NEPSLPGetEPS()`, `NEPSetTwoSided()`, `NEPSLPGetEPSLeft()`

## Level

beginner

## Location

src/nep/impls/interpol/interpol.c

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