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# PEP_GYROSCOPIC

A quadratic eigenvalue problem with gyroscopic structure.

## Notes

This is reserved for the case of a quadratic eigenvalue problem \((K+\lambda C+\lambda^2M)x=0\) with \(M\), \(K\) Hermitian, \(M>0\), and \(C\) skew-Hermitian.

Currently there is support for this problem type only in `PEPLINEAR`, using a general eigensolver, without exploiting the structure.

## See Also

PEP: Polynomial Eigenvalue Problems, `PEPProblemType`, `PEPSetProblemType()`, `PEP_GENERAL`, `PEP_HERMITIAN`, `PEP_HYPERBOLIC`, `PEPLINEAR`

## Level

intermediate

## Location

include/slepcpep.h

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