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#
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