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Carry out a backward error analysis for the calculation of

Question: Carry out a backward error analysis for the calculation of the scalar product s = a₁b₁ + a₂b₂ + . . . + a_nb_n Redo the analysis under the assumption that double-precision accumulation is used. This means that the double-precision results of each multiplicatioin are retained and added to the sum in double precision, with the resulting sum rounded only at the end to single precision.

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