slepc3.20.1 20231127
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   eigensolver context obtained from NEPCreate()

 rg   optional region

 omega   value where the resolvent must be evaluated

 v   input vector

Output Parameter
Notes
The resolvent T^{1}(z) = sum_i (zlambda_i)^{1}*x_i*y_i' is evaluated at
z=omega and the matrixvector 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
NEPGetLeftEigenvector(), NEPSolve()
Level
intermediate
Location
src/nep/interface/nepresolv.c
Examples
src/nep/tutorials/ex42.c
Index of all NEP routines
Table of Contents for all manual pages
Index of all manual pages