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##

Example

We continue to use the example introduced in
§2.1 and
Figure 2.1.
We now consider the case of unit masses
but nonzero damping constants .
(The case of nonunit masses is handled in §2.6.8.)
This simplifies the equations
of motion to
.
We solve them by changing variables to

yielding

We again solve 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 non-Hermitian matrix .

Susan Blackford
2000-11-20