Spectral Transformation - ST

The other main SLEPc object is the Spectral Transformation (ST), which encapsulates the functionality required for acceleration techniques based on the transformation of the spectrum. As explained in the Users Guide, the eigensolvers implemented in EPS work by applying an operator to a set of vectors and this operator can adopt different forms. The ST object handles all the different possibilities in a uniform way, so that the solver can proceed without knowing which transformation has been selected.

The type of spectral transformation can be specified at run time (e.g., -st_type shift) as well as several parameters such as the value of the shift (e.g., -st_shift 1.5).

ST objects are always related to EPS objects. Users should not create a standalone ST object.

ST options can also be set directly in application codes by first extracting the ST context from the EPS context via EPSGetST() and then directly calling the ST routines (e.g., STSetType()/ STSetShift() ).

Beginner - Basic usage
STCreate STGetShift STSetShift
STDestroy STSetFromOptions STView
Intermediate - Setting options for algorithms and data structures
STGetOperators STGetVector STSetVector
STGetSLES STSetOperators STSinvertSetShiftMat
STGetType STSetType
Advanced - Setting more advanced options and customization
STAppendOptionsPrefix STRegisterAll STSetOptionsPrefix
STGetNumberOfShifts STRegisterDestroy STSetSLES
STGetOptionsPrefix STRegisterDynamic STSetUp
Developer - Interfaces intended primarily for library developers, not for typical applications programmers
STApply STAssociatedSLESSolve STShellSetBackTransform
STApplyB STShellGetName STShellSetName
STApplyNoB STShellSetApply

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