A motivation of this paper is
to explore the idea
that the *L _{1}* norm might
produce the kind of solutions that Daniel Busch would like to see.
I'm far from certain of this.
The behavior of the

One reason
the behavior of the *L _{1}* norm
is not widely observed
in underdetermined problems is that
we do not have fast and reliable computational methods
for problems of high dimensionality.
For example, in Busch's example the unknowns are a cartesian mesh of all
possible altitudes where just four altitudes are constrained.
(Actually, we probably also need to specify the behavior at infinite distance.)

To see if *L _{1}* might help us solve problems like the one posed by Busch,
and to help us guess whether we should invest resources
in

4/27/2000