EPS_POWER_SHIFT_CONSTANT#

The power iteration will use a constant shift.

Note#

Together with STSINVERT, the EPSPOWER solver implements the inverse iteration method, i.e., it will apply \((A-\sigma I)^{-1}\) at each iteration, by solving a linear system. By default, the shift \(\sigma\) is constant and given by the user with EPSSetTarget().

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, EPSPowerShiftType, EPSPowerSetShiftType(), STSetShift(), EPSSetTarget(), EPS_POWER_SHIFT_RAYLEIGH, EPS_POWER_SHIFT_WILKINSON

Level#

advanced

Location#

include/slepceps.h


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