PEPRefineScheme

The scheme used for solving linear systems during iterative refinement.

Synopsis

typedef enum { PEP_REFINE_SCHEME_SCHUR    = 1,
               PEP_REFINE_SCHEME_MBE      = 2,
               PEP_REFINE_SCHEME_EXPLICIT = 3 } PEPRefineScheme;

Values

• PEP_REFINE_SCHEME_SCHUR - use the Schur complement

• PEP_REFINE_SCHEME_MBE - use the mixed block elimination (MBE) scheme

• PEP_REFINE_SCHEME_EXPLICIT - build the full matrix explicitly

Note

Iterative refinement may be very costly, due to the expensive linear solves. These linear systems have a particular structure that can be exploited in different ways, as described in [Campos and Roman, 2016]. See PEPSetRefine() for additional details.

References

[Cam16b]

C. Campos and J. E. Roman. Parallel iterative refinement in polynomial eigenvalue problems. Numer. Linear Algebra Appl., 23(4):730–745, 2016. doi:10.1002/nla.2052.

See Also

PEP: Polynomial Eigenvalue Problems, Iterative Refinement, PEPSetRefine()

Level

intermediate

Location

include/slepcpep.h

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