Handling numbers in high precision and controlling the numerical precision in a serial system on a parallel MIMD machine

A coherent arithmetic system with addition, subtraction, and multiplication is described. Truncation and cancellation phenomena show the limits of the floating-point number systems when computing large expressions. The authors present a software oriented arithmetic inherited from online arithmetic that handles numbers serially using a high radix redundant notation. The algorithms make it possible, on a parallel computer, to compute numerical expressions quickly, in a digit-level pipelined fashion, and offer an inner control of the precision.<
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