In an earlier paper (Huestis, 1986), I gave an iterative algorithm for efficient linear programming construction of the minimum uniform-norm solution of a linear inverse problem.

In such a problem, d data values Ei are linear functionals of the unknown solution m(r), usually expressible as integrals over an appropriate domain V
Ei=vGi(r)m(r)dr+εi,i=1,,d
The Gi are known functions, and ei allows for measurement error.
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