LEAST-SQUARES ALGEBRAIC MULTILEVEL METHODS FOR 
                            NONSYMMETRIC PROBLEMS

                                ILYA D. MISHEV

                           Texas A & M University,
                        College Station, Texas 77843 


Abstract.  Algebraic two and multilevel preconditioning methods based on
least-square polynomial approximation of the inverses of the stiffness
matrices at any discrete level of nonsymmetric second order elliptic problem
are proposed.  The theory requires H^2-regularity of the problem.  The method
is illustrated by numerical examples.


1991 Mathematics Subject Classiffication.  65N20, 65F10.

Key words and phrases.  Finite Element Method, Nonsymmetric elliptic problem,
Multi-level preconditioning.