STIsInjective#

Returns whether this spectral transformation is injective or not (that is, if it corresponds to a one-to-one mapping). If not, then it does not make sense to call STBackTransform().

Synopsis#

#include "slepcst.h" 
PetscErrorCode STIsInjective(ST st,PetscBool* is)

Not Collective

Input Parameter#

st - the spectral transformation context

Output Parameter#

is - the answer

Note#

In case of non-injective transformations such as STFILTER, the eigenvalues of the original eigenproblem are computed via the Rayleigh quotient \(\rho(A,x) = \frac{x^*Ax}{x^*x}\) for each computed eigenvector \(x\).