# An algorithm for the complete solution of the quartic eigenvalue problem

@article{Drmavc2019AnAF, title={An algorithm for the complete solution of the quartic eigenvalue problem}, author={Zlatko Drmavc and Ivana vSain Glibi'c}, journal={arXiv: Numerical Analysis}, year={2019} }

Quartic eigenvalue problem $(\lambda^4 A + \lambda^3 B + \lambda^2C + \lambda D + E)x = \mathbf{0}$ naturally arises e.g. when solving the Orr-Sommerfeld equation in the analysis of the stability of the {Poiseuille} flow, in theoretical analysis and experimental design of locally resonant phononic plates, modeling a robot with electric motors in the joints, calibration of catadioptric vision system, or e.g. computation of the guided and leaky modes of a planar waveguide. This paper proposes a… Expand

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