D. Smith, "A Fortran Package For Floating-Point Multiple-Precision Arithmetic", Transactions on Mathematical Software, 17 (1991), 273 -- 283. Home/Search Document Details and Download
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Reward Model Solution Methods With Impulse And Rate Rewards: .. - Qureshi, Sanders (1994) (6 citations) (Correct)
....the algorithm. In particular, there are several places where care must be taken to avoid numerical overflow and underflow. In some cases, we have avoided underflow and overflow by changing the order of calculation within an expression, in others, we have used a multi precision math package [19]. Specifically, the conditional PDF of P [Y [0;t] y j n; k; j] is difficult to calculate using normal double precision arithmetic for some input parameter values. To avoid this problem, we use multi precision arithmetic with a variable (user specified) accuracy for this calculation. The ....
D. M. Smith, "A FORTRAN package for floating-point multiple-precision arithmetic," ACM transactions on mathematical software 17 (2) (Jun. 1991) 273-283.
A Portable High Performance Multiprecision Package - Bailey (1993) (14 citations) (Correct)
....for a while is the Brent MP multiprecision package, authored by R. P. Brent [11] This package has the advantage of being freely available either from the author or from various other sources. It is very complete, including detailed numerical controls and many special functions. Recently Smith [30] described a similar package that features improved performance for certain transcendental functions. Another package available at some sites is MACSYMA, which was originally developed at MIT but is now distributed by Symbolics, Inc. MACSYMA is actually a complete symbolic mathematics package, ....
....level listed, the Y MP is running the author s code at 195 M op s, or 59 of the one processor peak rate. Since Brent s package and Mathematica are perhaps the most widely used packages of this sort, other authors typically compare their performance gures with one of these. For example, Smith [30] compares his package with Brent s. Since Smith s timings for fundamental add and multiply operations are roughly comparable to Brent s, it would be expected that MPFUN would exhibit similar performance ratios with Smith s package. Acknowledgments The author wishes to acknowledge helpful ....
Smith, David M., \A FORTRAN Package for Floating-Point Multiple-Precision Arithmetic ", ACM Transactions on Mathematical Software, vol. 17, no. 2 (June 1991), p. 273 - 283.
Numerical Evaluation of Special Functions - LOZIER, Olver (1994) (1 citation) (Correct)
....were calculated by 7 In 1988 the National Bureau of Standards became the National Institute of Standards and Technology. 8 Methods for constructing and testing algorithms for generating elementary functions are surveyed in [CW80] See also [Bai93,Bre76,Bre78a,Bre78b,Cod93a,LCY65,MY91,Smi89,Smi91,Ziv91] 9 Certain company products are identified in the text. In no case does such identification imply recommendation or endorsement by the National Institute of Standards and Technology, nor does it imply that the products are necessarily the best available for the purpose. NUMERICAL ....
D. M. Smith, Algorithm 693. A Fortran package for floating-point multiple-precision arithmetic, ACM Trans. Math. Software 17 (1991), 273--283.
Multiprecision Translation and Execution of Fortran Programs - Bailey (1993) (14 citations) (Correct)
....level listed, the Y MP is running the author s code at 195 MFLOPS, or 59 of the one processor peak rate. Since Brent s package and Mathematica are perhaps the most widely used packages of this sort, other authors typically compare their performance figures with one of these. For example, Smith [30] compares his package with Brent s. Since Smith s timings for fundamental add and multiply operations are roughly comparable to Brent s, it would be expected that MPFUN would exhibit similar performance ratios with Smith s package. 3.0 Overview of the Multiprecision Translator Conversion of a ....
D. M. Smith, "A FORTRAN Package for Floating-Point Multiple-Precision Arithmetic ", ACM Transactions on Mathematical Software, vol. 17, no. 2 (June 1991), p. 273 -- 283.
Algorithm: Fortran 90 Software for Floating-Point Multiple.. - Smith Self-citation (Smith) (Correct)
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Smith, D.M. 1991. A Fortran Package for Floating-Point Multiple-Precision Arithmetic. ACM Trans. Math. Softw. 17, 2 (June), 273--283.
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D. Smith, "A Fortran Package For Floating-Point Multiple-Precision Arithmetic", Transactions on Mathematical Software, 17 (1991), 273 -- 283.
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