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# EPS_GHIEP

A generalized Hermitian-indefinite eigenvalue problem.

## Notes

The problem is formulated as \(Ax=\lambda Bx\), where both \(A\) and \(B\) are real symmetric or complex Hermitian, but \(B\) is indefinite.

The solver will try to exploit the symmetry by using an indefinite inner product, which may turn the computation numerically unstable. To avoid this, solve the problem as non-Hermitian.

## See Also

EPS: Eigenvalue Problem Solver, `EPSProblemType`, `EPSSetProblemType()`

## Level

intermediate

## Location

include/slepceps.h

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