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#

Conclusion

Using the method in the previous section to verify that a set of
partial quotients is produced by family of continued fractions,
whose period grows linearly, is a straightforward process and
simpler than the inductive method used in [1] and
[3]. The method involves grouping sets of partial
quotients together whose associated matrix product can be written
in a collapsed form by diagonalizing the product. For more
information on how this method works, and on how to construct
certain types of families of continued fractions, see
[4].

*mcenter*

*2000-01-06*