PEPQARNOLDI#

PEPQARNOLDI = “qarnoldi” - The Quadratic Arnoldi method (Q-Arnoldi) for quadratic eigenvalue problems.

Notes#

This solver is available for quadratic eigenproblems only.

It implements the Q-Arnoldi method [Meerbergen, 2009], which is not guaranteed to be numerically stable. Users should prefer PEPTOAR, which provides a similar algorithm with guaranteed numerical stability.

References#

[Mee09]

K. Meerbergen. The Quadratic Arnoldi method for the solution of the quadratic eigenvalue problem. SIAM J. Matrix Anal. Appl., 30(4):1463–1482, 2009. doi:10.1137/07069273x.

See Also#

PEP: Polynomial Eigenvalue Problems, PEP, PEPType, PEPSetType()

Level#

beginner

Location#

src/pep/impls/krylov/qarnoldi/qarnoldi.c


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