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A floating-point technique for extending the available precision. (English) Zbl 0226.65034


MSC:

65G50 Roundoff error

Software:

ALGOL 60
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Full Text: DOI EuDML

References:

[1] Babu?ka, I.: Numerical stability in mathematical analysis. IFIP congr. 68, Invited papers, 1-13 (1968).
[2] Grau, A. A.: On a floating-point number representation for use with algorithmic languages. Comm. ACM5, 160-161 (1962). · Zbl 0104.35905 · doi:10.1145/366862.366895
[3] Kahan, W.: Further remarks on reducing truncation errors. Comm. ACM8, 40 (1965). · doi:10.1145/363707.363723
[4] Knuth, D. E.:The art of computer programming, vol. 2. Addison Wesley (1969). · Zbl 0191.18001
[5] Møller, O.: Quasi double-precision in floating-point addition. BIT5, 37-50 (1965). · Zbl 0131.15805 · doi:10.1007/BF01975722
[6] Naur, P. (ed.): Revised report on the algorithmic language, ALGOL 60 (1962). · Zbl 0105.32403
[7] Veltkamp, G. W.: Private communications (see also RC Informatie Nr. 21 & 22, Technological University, Eindhoven). (1968).
[8] Wilkinson, J. H.: Rounding errors in algebraic processes. Her Majesty’s Stationary Office (1963).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.