PEP_HYPERBOLIC#
A quadratic eigenvalue problem with hyperbolic structure.
Note#
This is reserved for the case of a quadratic eigenvalue problem \((K+\lambda C+\lambda^2M)x=0\) with Hermitian coefficient matrices, and in addition \(M\) is positive definite and \((x^*Cx)^2>4(x^*Mx)(x^*Kx)\) for all nonzero \(x\in\mathbb{C}^n\). All eigenvalues are real, and form two separate groups of \(n\) eigenvalues, each of them having linearly independent eigenvectors.
See Also#
PEP: Polynomial Eigenvalue Problems, PEPProblemType, PEPSetProblemType(), PEP_GENERAL, PEP_HERMITIAN, PEP_GYROSCOPIC
Level#
intermediate
Location#
Index of all PEP routines Table of Contents for all manual pages Index of all manual pages