NEPApplyResolvent#

Applies the resolvent T^{-1}(z) to a given vector.

Synopsis#

#include "slepcnep.h" 
PetscErrorCode NEPApplyResolvent(NEP nep,RG rg,PetscScalar omega,Vec v,Vec r)

Collective

Input Parameters#

  • nep - the nonlinear eigensolver context

  • rg - optional region

  • omega - value where the resolvent must be evaluated

  • v - input vector

Output Parameter#

  • r - result vector

Notes#

The resolvent T^{-1}(z) = sum_i (z-lambda_i)^{-1}x_iy_i’ is evaluated at z=omega and the matrix-vector multiplication r = T^{-1}(omega)*v is computed. Vectors x_i and y_i are right and left eigenvectors, respectively, normalized so that y_i’*T’(lambda_i)*x_i=1. The sum contains only eigenvectors that have been previously computed with NEPSolve(), and if a region rg is given then only those corresponding to eigenvalues inside the region are considered.

See Also#

NEP: Nonlinear Eigenvalue Problems, NEPGetLeftEigenvector(), NEPSolve()

Level#

intermediate

Location#

src/nep/interface/nepresolv.c

Examples#

src/nep/tutorials/ex42.c

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