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The stability of the difference equation can be shown in a similar way, but
with some extra clutter.
First observe the identity

| |
(84) |

Letting and ,equation (84) becomes
| |
(85) |

Now, replace the terms by
equation (81):

| |
(86) |

This equation establishes the result:
If the matrix is
positive definite,
then is less than .

** Next:** Application to 45 degree
** Up:** THE BULLETPROOFING OF MUIR
** Previous:** Stability of the differential
Stanford Exploration Project

10/31/1997