|
 REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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ABRAMOWlTZ, M, AND STEGUN, I.A. Handbook of Mathematwal Function,s. Nat. Bur. of Standards, Washington, D.C., 1964.
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American National Standard Fortran (ANSI X3.9-1966), Amer. Nat. Standards Inst., New York, 1966. See also Comm. ACM 12, 5 (May 1969), 289-294 and Comm. ACM 1~, 10 (Oct. 1971), 628-642.
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BEYER, W.A., AND WATERMAN, M.S. Decimals and partial quotients of Euler's constant and ln(2). Submitted to Math. Comput.
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BEYER, W.A., AND WATERMAN, M S. Error analysls of a computation of Euler's constant. Math. Comput. 28 (April 1974), 599-604.
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7
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8
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BOGEN, R. MACSYMA Reference Manual, Vet 8. Mathlab. Group, Project MAC, M.I.T., Cambridge, Mass., 1975.
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9
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10
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BRENT, R P. Computation of the continued fraction for Euler's constant. Math. Compul. 81 (JuIy 1977), 771-777.
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11
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12
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BRENT, R.P. Knuth's constants to 1000 decimal and 1100 octal places. Tech. Rep. 47, Comptr. Ctr., Australian National U., Canberra, Sept. 1975.
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BRENT, R.P. MP users guide Tech Rep. 54, Comptr. Ctr., Australian National U., Canberra, Sept. 1976.
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14
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BRENT, R.P. Multiple-precision zero-finding methods and the complexity of elementary function evaluation. In Analytic Computational Complexity, J.F. Traub, Ed., Academic Press, New York, 1976, pp. 151-176.
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15
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BR~NT, R.P. On the precision attainable with various floating-point number systems. IEEE Trans. Comptrs. C-22 (June 1973), 601-607.
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BRENT, R.P. Some high-order zero-finding methods using almost orthogonal polynomials. J. Auslral Math. Soc. Series B, 19 (1975), 1-29.
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17
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BRENT, R.P. The complexity of multiple-precision arithmetic. In Complexity of Compuational Problem Solving, R S. Anderssen and R.P. Brent, Eds., U. of Queensland Press, Brisbane, 1976, pp. 126-165.
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18
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19
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DECKER, T.J. A floating-point technique for extending the available precision. Numer. Math. 18 (1971), 224-242.
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20
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EHRMAN, J.R. A multiple-precision floating-point arithmetic package for System/360. Rep. CGTM 18, Stanford Linear Accelerator Ctr., Stanford, Calif., 1967.
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21
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GA~ANT, D. C., AND BYRD, P.F. High accuracy gamma function values for some rational arguments. Math Comput. 22 (1968), 885-887
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22
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23
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24
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HART, J.F., ET AL. Computer Approx~matwns. Wiley, New York, 1968.
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25
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I-IEttMITE, C. Oeuvres de Charles Hermzte, Vol. 2. Gauthier-ViUars, Paris, 1908, pp. 38-82.
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26
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HILL, I D. Algorithm 34, Procedures for the basic arithmetical operations in multiplelength working. Computer J II (Aug. 1968), 232-235.
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27
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HULL, T.E., AND HOFBAUER, J J. Language facilities for multiple-precision floating-point computation. Dept. Comptr. Sci , U. of Toronto, Toronto, Ont., 1974.
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28
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JONES, H.S.P. Algorithm 72. Multiple integer arithmetic procedures in Algol. Computer J. 15 (1972), 281-282.
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29
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~ARATSUBA, h., AND OFMAN, Y. Multiplication of multidigit numbers on automata. Dokl. Akad. Nauk SSSR 146 (1962), 293-394 (m Russian).
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30
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31
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KNUTH, D.E. Euler's constant to 1271 places. Math. Comput. I6 (1962), 275-281.
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32
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33
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34
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LAWSON, C L Basic Q-precision arithmetic subroutines including input and output. Tech Memo 170, Jet Propulsion Lab., Pasadena, Cahf, Oct. 1967.
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35
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LAWSON, C.L. Q-precision subroutines for the elementary functmns and aids for testing single-precision and double-precision function subroutines. Tech. Memo 188, Jet Propulsion Lab, Pasadena, Calif., April 1968.
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36
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L.~WSON, C L Summary of Q-precision subroutines as revised in October 1968. Tech Memo 211, Jet Propulsion Lab , Pasadena, Calif., Jan 1969.
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37
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LEHMER, D.H. Tables to many places of decimals. Math. Tables Aids Comput. 1 (1943), 30-31 (now Math Comput.).
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38
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MAXIMON, L.C Fortran programs for arbitrary precision arithmetic. Rep. 10563, Nat. Bur. of Standards, Washington, D.C., April 1971.
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39
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RAMANUJAN, S Collected Papers of Srinwasa Ramar~u3an Cambridge U. Press, Cambridge, 1927, pp 23-39.
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40
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REID, C E, AND KNOBLE, H D. A multiple precision arithmetic package for the IBM 360/370 systems. SHARE Program Library, March 1974.
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41
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RYDER, B.G The PFORT verffier Software--Practice and Experience ~ (1974), 359-377
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42
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SALAMIS, E. Computation of ~r using arithmetic-geometrm mean. Math. Comput. SO (July 1976), 565-570.
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43
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SCHONFELDER, J.L. The production of special function routines for a multi-machine library. Soft~xare--Pract~ce and E~pemence 6 (lC~7~), 71-82.
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SCHONFELDER, J L The testing of mathematical function software in a multi-machine enwronment. Tech. Rep. 107, Basser Dept Comptr. Scl., U. of Sydney, Sydney, Australm, Nov. 1975.
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45
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SCHONFELDER, J.L., AND THOMASON, J.T. Applications support by direct language extension-an arbitrary precision arithmetic facility m Algol 68 Computer Ctr., U. of B~rmmgham, Birmingham, 1975.
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46
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SC~ONHXGE, A, AND STRASSEN, V Schnelle Multiplikation grosser Zahlen. Computing 7 (1971), 281-292.
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47
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SPIRA, R. Fortran multiple precision, Pt. 1, 2. Dept. of Math., Michigan State U., East Lansing, M1ch, 1973.
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48
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SWEENEY, D.W. On the computation of Euler's constant. Math. Comput. 17 (1963), 170-178.
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49
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TIENARt, M., AND SUOKONAUTIO, V A set of procedures making real arithmetic of unlimited accuracy possible within Algol 60. BIT 6 (1966), 322-338.
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50
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51
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CRARY, F.D. Multiple precision arithmetic design with an implementation on the Univac 1108. Tech. Summary Rep. 1123, Mathematics Research Center, U. of Wisconsin, Madison, Wis., 1971.
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52
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CRARY, F.D. The Augment precompiler, Pt. I--User information. Tech. Summary Rep. 1469, Mathematics Research Center, U of Wisconsin, Madison, Wis. 1974 (revised April 1976)
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CITED BY 43
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Shankar Krishnan , Mark Foskey , Tim Culver , John Keyser , Dinesh Manocha, PRECISE: efficient multiprecision evaluation of algebraic roots and predicates for reliable geometric computation, Proceedings of the seventeenth annual symposium on Computational geometry, p.274-283, June 2001, Medford, Massachusetts, United States
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Xiaoye S. Li , James W. Demmel , David H. Bailey , Greg Henry , Yozo Hida , Jimmy Iskandar , William Kahan , Suh Y. Kang , Anil Kapur , Michael C. Martin , Brandon J. Thompson , Teresa Tung , Daniel J. Yoo, Design, implementation and testing of extended and mixed precision BLAS, ACM Transactions on Mathematical Software (TOMS), v.28 n.2, p.152-205, June 2002
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P. W. Gaffney , C. A. Addison , B. Andersen , S. Bjørnestad , R. E. England , P. M. Hanson , R. Pickering , M. G. Thomason, NEXUS: towards a problem solving environment (PSE) for scientific computing, ACM SIGNUM Newsletter, v.21 n.3, p.13-24, July 1986
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