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Optimale Basiswahl für eine Gleitkomma-Arithmetik. (German) Zbl 0265.65027
MSC:
65G50 Roundoff error
68Q45 Formal languages and automata
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[1] Benford, F.: The Law of Anomalous Numbers. Proc. Amer. Phil. Soc.78, 551 (1938). · Zbl 0018.26502
[2] Goldberg, I. B.: 27 Bits Are Not Enough for 8-Digit Accuracy. Comm. ACM10, 105 (1967).
[3] Hamming, R. W.: On the Distribution of Numbers. Bell Sys. Tech. J.49, 1609 (1970). · Zbl 0211.46701
[4] Hull, T. E., and J. R. Swenson: Tests of Probabilistic Models for the Propagation of Roundoff Errors. Comm. ACM9, 108 (1966). · Zbl 0158.15302
[5] Kreifelts, Th.: Über vollautomatische Erfassung und Abschätzung von Rundungsfehlern in arithmetischen Prozessen. Ber. Ges. Math. Datenverarb. Bonn, Nr. 62 (1972). · Zbl 0251.65035
[6] Matula, D. W.: Base Conversion Mappings. Proc. Amer. Fed. Information Processing Soc.30, 311 (1967).
[7] Richman, P.: Floating-Point Number Representations: Base Choice versus Exponent Range. Tech. Rep. Nr. CS 64, Comp. Sc. Dep., Stanford Univ., Stanford, Cal. (USA), 1967.
[8] Tienari, M.: A Statistical Model of Roundoff Error for Varying Length Floating-Point Arithmetic. BIT10, 355 (1970). · Zbl 0213.16203
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