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Roundoff Error and Double Precision
1977As we have seen, most applications of computers to calculus involve the evaluation of several terms in a sequence. The evaluations continue until some criterion is satisfied. In Figure 1–5 for example, the criterion was that the terms of two sequences differ by less than 10-3. In EXERCISE 5–5 the values of the sequence \( \frac{{f(1.8 + {{10}^{{ - n}}})
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Roundoff errors in floating-point summation
BIT, 1975All possible schemes for the calculation of the sum ofn addends by means ofn−1 floating-point additions is considered and in case of positive addends it is shown how to use the Huffman algorithm to choose a scheme to obtain the least upper bound on the accumulated roundoff error in the result.
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Efficient Calculation of the Effects of Roundoff Errors
ACM Transactions on Mathematical Software, 1978John L. Larson, Ahmed H. Sameh
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Modular Optimization-Based Roundoff Error Analysis of Floating-Point Programs
Lecture Notes in Computer Science, 2023Eva Darulova, Rosa Abbasi
exaly
On the calculation of the effects of roundoff errors
ACM Transactions on Mathematical Software, 1981openaire +3 more sources
Stairway to Heaven: Accumulation of Roundoff Error
1996Martin Gardner’s popular “Mathematical Games” column appeared monthly in Scientific American from January 1957 through December 1981. During those 25 years he entertained his readers with discussions of such topics as how to fold adding machine tape into hexaflexagons, John Conway’s Game of Life, and the discoveries of the mysterious numerologist Dr ...
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