Reisser, J. F.; Knuth, D. E.: Evading the Drift in Floating-Point Addition. Inf. Process. Lett. 3, 3, pp. 84-87, 1975.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....to require that the rounded result have its least significant 1. Also commonly referred to as correctly rounded. Ed. x x 164 Numerical Computation Guide E digit be even. Thus 12.5 rounds to 12 rather than 13 because 2 is even. Which of these methods is best, round up or round to even Reiser and Knuth [1975] offer the following reason for preferring round to even. Theorem 5 Let x and y be floating point numbers, and define x 0 = x, x 1 = x 0 y) y, x n = x n 1 y) y. If and are exactly rounded using round to even, then either x n = x for all n or x n = x 1 for all n 1. z To clarify this ....

Reiser, John F. and Knuth, Donald E. 1975. Evading the Drift in Floating-point Addition, Information Processing Letters 3(3), pp 84-87.

....r equire that the r ounded r esult have its least significant 1.Also commonly r eferred to ascorrectly rounded. Ed. x x 168 Numerical Computation Guide E digit be even. Thus 12.5 r ounds to 12 rather than 13 because 2 is even. Which of these methods is best, r ound up or r ound to even Reiser and Knuth [1975] offer the following r eason for pr eferring r ound to even. Theorem 5 Let x and y be floating point numbers, and define x 0 = x, x 1 = x 0 y) y, x n = x n 1 y) y. If and are exactly rounded using round to even, then either x n = x for all n or x n = x 1 for all n 1.z To clarify this ....

Reiser, John F . and Knuth, Donald E. 1975. Evading the Drift in Floating-point Addition , Information Pr ocessing Letters 3(3), pp 84-87.

No context found.

Reisser, J. F.; Knuth, D. E.: Evading the Drift in Floating-Point Addition. Inf. Process. Lett. 3, 3, pp. 84-87, 1975.

Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC