The efficiency of D4 Gaussian elimination on a vector computer, the Cray-1/S, is examined. The algorithm used in this work is employed routinely in Phillips Petroleum Co. reservoir simulation models. Comparisons of scalar and vector Cray-1/S times are given for various example cases including multiple unknowns per gridblock. Vectorization of the program on the Cray-1/S is discugsed.

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