EPSPowerSetShiftType#

Sets the type of shifts used during the power iteration. This can be used to emulate the Rayleigh Quotient Iteration (RQI) method.

Synopsis#

#include "slepceps.h" 
PetscErrorCode EPSPowerSetShiftType(EPS eps,EPSPowerShiftType shift)

Logically Collective

Input Parameters#

  • eps - the linear eigensolver context

  • shift - the type of shift, see EPSPowerShiftType for possible values

Options Database Key#

  • -eps_power_shift_type <shift> - sets the shift type, either constant, rayleigh or wilkinson

Notes#

By default, shifts are constant (EPS_POWER_SHIFT_CONSTANT) and the iteration is the simple power method (or inverse iteration if a shift-and-invert transformation is being used).

A variable shift can be specified (EPS_POWER_SHIFT_RAYLEIGH or EPS_POWER_SHIFT_WILKINSON). In this case, the iteration behaves rather like a cubic converging method such as RQI.

Details of the three variants can be found in [Hernandez et al., 2005].

References#

[Her05]

V. Hernandez, J. E. Roman, A. Tomas, and V. Vidal. Single vector iteration methods in SLEPc. Technical Report STR-2, Universitat Politècnica de València, 2005. URL: https://slepc.upv.es/documentation.

See Also#

EPS: Eigenvalue Problem Solver, EPSPOWER, EPSPowerGetShiftType(), STSetShift(), EPSPowerShiftType

Level#

advanced

Location#

src/eps/impls/power/power.c

Implementations#

EPSPowerSetShiftType_Power() in src/eps/impls/power/power.c

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