The usual method of earthquake location which minimizes the sum of the squared residuals fails when the number of known arrival times is less than the number of location parameters. A generalized inverse matrix A† exists which yields a solution A†b of minimum Euclidean length to the condition equations Ax = b. (This situation often arises in geodesy.) Because the rank of A equals the number of rows, which is one less than the number of columns, the computation of the appropriate A† is very simple for only three stations. A worked example is given for the relocation of the trial position of an explosion using two stations.

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