Even when summing using doubles, you can lose precision. In general, Kahan summation allows you to double the intermediary precision of your sums, so if you're losing precision even with 64-bit doubles, Kahan summation…
Yes, that's completely true. But while there are still inputs for which terrible accuracy could result, for many of the inputs which would arise in practice, the Kahan summation technique is "good enough" to prevent…
Even when summing using doubles, you can lose precision. In general, Kahan summation allows you to double the intermediary precision of your sums, so if you're losing precision even with 64-bit doubles, Kahan summation…
Yes, that's completely true. But while there are still inputs for which terrible accuracy could result, for many of the inputs which would arise in practice, the Kahan summation technique is "good enough" to prevent…