PEPCheckDefiniteQEP#
Determines if a symmetric/Hermitian quadratic eigenvalue problem is definite or not.
Synopsis#
#include "slepcpep.h"
PetscErrorCode PEPCheckDefiniteQEP(PEP pep,PetscReal *xi,PetscReal *mu,PetscInt *definite,PetscInt *hyperbolic)
Collective
Input Parameter#
pep - eigensolver context
Output Parameters#
xi - first computed parameter
mu - second computed parameter
definite - flag indicating that the problem is definite
hyperbolic - flag indicating that the problem is hyperbolic
Notes#
This function is intended for quadratic eigenvalue problems, Q(lambda)=Alambda^2+Blambda+C, with symmetric (or Hermitian) coefficient matrices A,B,C.
On output, the flag ‘definite’ may have the values -1 (meaning that the QEP is not definite), 1 (if the problem is definite), or 0 if the algorithm was not able to determine whether the problem is definite or not.
If definite=1, the output flag ‘hyperbolic’ informs in a similar way about whether the problem is hyperbolic or not.
If definite=1, the computed values xi and mu satisfy Q(xi)<0 and Q(mu)>0, as obtained via the method proposed in [Niendorf and Voss, LAA 2010]. Furthermore, if hyperbolic=1 then only xi is computed.
See Also#
Level#
advanced
Location#
Examples#
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