PEPWhich

Determines which part of the spectrum is requested.

Synopsis

typedef enum { PEP_LARGEST_MAGNITUDE  = 1,
               PEP_SMALLEST_MAGNITUDE = 2,
               PEP_LARGEST_REAL       = 3,
               PEP_SMALLEST_REAL      = 4,
               PEP_LARGEST_IMAGINARY  = 5,
               PEP_SMALLEST_IMAGINARY = 6,
               PEP_TARGET_MAGNITUDE   = 7,
               PEP_TARGET_REAL        = 8,
               PEP_TARGET_IMAGINARY   = 9,
               PEP_ALL                = 10,
               PEP_WHICH_USER         = 11 } PEPWhich;

Values

• PEP_LARGEST_MAGNITUDE - largest \(|\lambda|\)

• PEP_SMALLEST_MAGNITUDE - smallest \(|\lambda|\)

• PEP_LARGEST_REAL - largest \(\mathrm{Re}(\lambda)\)

• PEP_SMALLEST_REAL - smallest \(\mathrm{Re}(\lambda)\)

• PEP_LARGEST_IMAGINARY - largest \(\mathrm{Im}(\lambda)\)

• PEP_SMALLEST_IMAGINARY - smallest \(\mathrm{Im}(\lambda)\)

• PEP_TARGET_MAGNITUDE - smallest \(|\lambda-\tau|\)

• PEP_TARGET_REAL - smallest \(|\mathrm{Re}(\lambda-\tau)|\)

• PEP_TARGET_IMAGINARY - smallest \(|\mathrm{Im}(\lambda-\tau)|\)

• PEP_ALL - all \(\lambda\in[a,b]\) or \(\lambda\in\Omega\)

• PEP_WHICH_USER - user-defined sorting criterion

Notes

If SLEPc is compiled for real scalars PEP_LARGEST_IMAGINARY and PEP_SMALLEST_IMAGINARY use the absolute value of the imaginary part for eigenvalue selection.

The target \(\tau\) is a scalar value provided with PEPSetTarget().

The case PEP_ALL needs an interval \([a,b]\) given with PEPSetInterval() or a region \(\Omega\) specified with an RG object.

See Also

PEP: Polynomial Eigenvalue Problems, PEPSetWhichEigenpairs(), PEPSetTarget(), PEPSetInterval()

Level

intermediate

Location

include/slepcpep.h

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