Question: Consider the straightforward algorithm for computing S(1, r2, r3) = V#1 1+2 2+13 *3. Estimate the relative error when computing S(r1, 2, r3) in

Consider the straightforward algorithm for computing S(1, r2, r3) = V#1 1+2

Consider the straightforward algorithm for computing S(1, r2, r3) = V#1 1+2 2+13 *3. Estimate the relative error when computing S(r1, 2, r3) in fl-arithmetic with the unit round-off u. Use the following simplifying assumption that for a machine number y, the computed SQRT(y) has small relative error: SQRT(y) = (1+ 8) V for some o with |6| < u. %3D

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