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##

Example

We continue to use the example introduced in
§2.1 and
Figure 2.1.
We now consider the fully general case of nonzero masses
and damping constants .
This leads to the equations
of motion
.
We solve them by changing variables to

yielding

or
.
We solve this by substituting
, where is
a constant vector and is a constant scalar to be determined.
This yields

Thus is an eigenvector
and is an eigenvalue of the generalized nonsymmetric
eigenvalue problem.

Susan Blackford
2000-11-20