The Algebraic  Recursive Multilevel  Solver is a  multilevel technique
which has attributes  of both the ILU class  of preconditioners and of
the multilevel class of  precondontioners. It is algebraic and general
purpose in the same way that  ILUT (for example) is.  The main idea is
to recursively form the Schur  complement system associated with a set
of  "coarse points"  which  are determined  algebraically.  Since  the
Schur complement  is typically sparse,  the same process  of reduction
can  be applied recursively  until a  last level  is reached  which is
factored by a standard ILU.