A method for predicting a GPS pseudorange error includes receiving a first plurality of pseudorange errors at a plurality of different times for a plurality of global positioning system (GPS) satellites. The method also includes creating, using a processor, a first matrix. Each element of the first matrix is determined using a portion of the first plurality of pseudorange errors. The method yet further includes creating, using the processor, a second matrix that includes at least a portion of the first plurality of pseudorange errors. A size of the second matrix is determined by comparing each element of the first matrix to a predetermined threshold. The method still further includes predicting, using the processor, a second plurality of pseudorange errors for the plurality of GPS satellites using the first plurality of pseudorange errors and the second matrix.