Question: Suppose a , b in F , the rounding error for the summation s = fl ( a + b ) can be computed using

Suppose a, b in F, the rounding error for the summation s = fl(a + b) can be
computed using the Kahan compensated summation
fl(fl(s a) b),
where fl means rounding. Based on this property, one can keep track of the rounding error.
Implement the Kahan compensated summation for computing S = Pn
j=1 xj , the algorithm is given
below in Algorithm1

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