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This is the general form of the eigensystem encountered in structural
engineering using the [[Finite element method|FEM]]. To represent the free-vibration solutions of the structure harmonic motion is assumed,<ref>Bathe, Klau Jürgen, '' Finite Element Procedures'', 2nd Ed., Prentice-Hall Inc., New Jersey, 1996, page 786</ref> so that <math>[\ddot U]</math>
is taken to equal <math>\lambda [U]</math>,
where <math>\lambda</math> is an eigenvalue (with units of reciprocal time squared, e.g., <math>\mathrm{s}^{-2}</math>),
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