JohnDubYa said:It also has to do with the number of operations you have to perform...
StonedPanda said:If your value of C is off by 0.5, then in f your answer will be off by 1, but in g your answer will be off by less than one.
Or, if you know each coefficient exactly, but they're way too long to compute with, depending on where you enter them into the formula, your forced rounding will matter less.
That's just my guess, anyway.
so instead of computing you compute
What's round-off error? I'm guessing "low order" refers to the order of polynomials?Each term introduces round-off error, so the trick is to get an accurate representation at low order
Multiply the usual form with
Edited a small mistake
Computers typically work in base 2. For the point of illustration, assume you are working with a computer that uses base 10 for floating point arithmetic and assume it only has 5 significant digits. For example, computing 1.0/3.0 and 200.0/3.0 on this computer yields 0.33333 and 66.667, respectively. Now suppose you need to find the solutions towhy doesn't the computer run them the same?