05336911

j

05336911 Watanuki, O. Ercegovac, M.D. Error analysis of certain floating-point on-line algorithms. IEEE Trans. Comput. 32, No. 04, 352-358 (1983). 1983 Institute of Electrical and Electronics Engineers (IEEE), Washington, DC EN redundant significand absolute error floating-point on-line algorithm maximum relative representation error pseudo-normalized significand

doi:10.1109/TC.1983.1676236

Summary: The properties of redundant number system in significand (mantissa) representation are studied and the range of redundant significand is derived. From the range of the redundant significand and the absolute error of on-line operations, the MRRE (maximum relative representation error) is defined and analyzed for floating-point on-line addition and multiplication.