Question for Joe Horn, Dieter, and other

11012017, 07:02 PM
Post: #2




RE: Question for Joe Horn, Dieter, and other
(11012017 05:32 PM)Namir Wrote: If I represent R using complex number notation (I, e), would the use of complex math operations (adding, subtracting, etc.) between two nearintegervalue floatingpoint numbers, yield more accurate results than straight forward operations between these same numbers? That is, for example: For addition and subtraction it seems obvious that adding/subtracting the integer parts and "e" separately improves accuracy. On the one hand because "e" may be represeted exactly where I+e may already show roundoff errors, on the other hand because the result (I1+I2, e1+e2) may yield a more exact value for e1+e2 as both I1+I2 and e1+e2 may be represented with, say, 10 or 12 significant digits each. But how do you want to multiply two numbers with this method? (I1+e1)*(I2+e2) equals I1*I2+e1*I2+I1*e2+e1*e2 while (I1, e1)*(I2, e2) is (I1*I2–e1*e2, I1*e2+I2*e1). Note the minus ! Dieter 

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