This is the same paper that has appeared in the preliminary
proceedings of the 2nd Copper Mt. Conference on Iterative Methods.
        
@inproceedings{Ruede92,
        author =        {U. R\"ude},
        title =         "On the Multilevel Adaptive Iterative Method",
        booktitle =     "Preliminary proceedings of the
                        2nd Copper Mountain Conference on Iterative Methods",
        editor =        "T. Manteuffel",
        publisher =     "University of Colorado at Denver",
        year =          "1992",
}

                        ABSTRACT
The core of the multilevel adaptive iterative method consists of a
relaxation scheme and an active set strategy.  The active set is used
to monitor where the iteration efficiently reduces the error.  It is
incrementally updated exploiting the current solution and the matrix
structure.  Arithmetic operations are restricted to the active set.
The concept can be extended to a multilevel structure by additionally
tracing the dependencies between unknowns on different levels.  It
improves the robustness and efficiency of classical multilevel methods;
in particular it is an almost ideal supplement of adaptive refinement
techniques.

Keywords:
        Sparse matrices, iterative methods, multilevel methods, adaptivity.
AMS(MOS) subject classifications:
        65F10, 65F50, 65N22, 65N50, 65N55.