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 SLEPc Users Manual, 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 sinvert) 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
STCayleySetAntishift STGetOperationCounters STSetMatMode
STFoldSetLeftSide STGetOperators STSetOperators
STGetKSP STGetType STSetType
STGetMatMode STResetOperationCounters
Advanced - Setting more advanced options and customization
STAppendOptionsPrefix STRegisterDynamic STSetOptionsPrefix
STComputeExplicitOperator STSHELL STSetUp
STGetOptionsPrefix STSetKSP STShellGetContext
STRegisterAll STSetMatStructure STShellSetContext
Developer - Interfaces intended primarily for library developers, not for typical applications programmers
STApply STInnerProductBegin STPostSolve
STApplyB STInnerProductEnd STSetBilinearForm
STApplyNoB STMInnerProduct STShellGetName
STApplyTranspose STMInnerProductBegin STShellSetApply
STBackTransform STMInnerProductEnd STShellSetApplyTranspose
STCheckNullSpace STNorm STShellSetBackTransform
STInitializePackage STNormBegin STShellSetName
STInnerProduct STNormEnd

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