for the

Alternatively the

can also be solved.

For the algorithms used here to work on the generalized eigenvalue problem is required that

A matrix is

An application for the generalized eigenvalue problem is vibration analysis of dynamical systems with multiple degrees of freedom.

For dynamical systems with multiple degrees of freedom

The eigenfrequencies ω

The eigenvectors describe the relative strength of the movement that points of the system take part in the vibration mode.

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