Systolic L-U decomposition array with a new reciprocal cell

A systolic architecture for L-U decomposition using a recently developed reciprocal cell is presented. The arithmetic of this new cell is based on second-order polynomial interpolation, which results in high speed and inherent stability in inversion. In part, the speed of the cell is realized by use of a special empirical mapping. For the 16-b mantissa of a floating point number, the lookup table size required is 64 words, and the RMS value of the error is approximately one-third of the LSB of the 16-b result.<
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