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The basic aim of the research proposed for this AFOSR Grant was to investigate, in depth, the optimization of iterative methods for solution of nonsymmetric nonpositive-definite matrix equations which arise in the numerical approximation (by finite difference or finite elements) of typical convection- diffusion problems. In the opinion of this Principal Investigator, the research results obtained, with AFOSR support, were of sufficient quality to be published in leading technical journals. We list below published research papers (each carrying an acknowledgment of AFOSR support), associated in this period with this current research effort.