Tag sum

Computing Sums More Accurately

Reordering the Operands, and a Bit More General ideas: Sort all your summands in ascending order (magnitude). Even more complex, sort...

Accurate Computation of the Sum of Two Numbers

Let \(a,b\) be two floating point numbers. Let \(s\) be \(\RN(a+b)\). Regardless of which number it picks in a tie, it can be shown that...