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# STSINVERT

STSINVERT = “sinvert” - The shift-and-invert spectral transformation.

## Notes

The operator in this `ST` is \((A-\sigma B)^{-1}B\), where \(A\) and \(B\) are the matrices set with `STSetMatrices()` and the shift \(\sigma\) is given in `STSetShift()`.

This is used to enhance convergence of eigenvalues in the neighborhood of \(\sigma\), at the cost of solving a system of linear equations at each eigensolver step.

## See Also

ST: Spectral Transformation, `ST`, `STType`, `STSetType()`, `STSetMatrices()`, `STSetShift()`

## Level

beginner

## Location

src/sys/classes/st/impls/sinvert/sinvert.c

Index of all ST routines Table of Contents for all manual pages Index of all manual pages