Keyword

multiple-precision arithmetic

Description: Computational arithmetic that uses adjustable precision beyond standard fixed-width numeric formats, limited primarily by available memory and resources.

Primary topic: Numerical Methods and Algorithms (35%)

Wikidata ID: wiki/Q527381

OpenAlex ID: keywords/multiple-precision-arithmetic

INTLAB — INTerval LABoratory

1999 · Siegfried M. Rump · Springer eBooks · 1,167

A Fast Monte-Carlo Test for Primality

1977 · R. Solovay, V. Strassen · SIAM Journal on Computing · 635

The ILLIAC IV Computer

1968 · G.H. Barnes, R.M. Brown, et al. · IEEE Transactions on Computers · 540

FIRE6: Feynman Integral REduction with modular arithmetic

2019 · A.V. Smirnov, F.S. Chukharev · Computer Physics Communications · 392

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Fast Multiple-Precision Evaluation of Elementary Functions

1976 · Richard P. Brent · Journal of the ACM · 365

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On the rapid computation of various polylogarithmic constants

1997 · David Bailey, Peter Borwein, et al. · Mathematics of Computation · 326

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Coulomb three-body bound-state problem: Variational calculations of nonrelativistic energies

2000 · V. I. Korobov · Physical Review A · 258

Numerical methods in scientific computing

2008 · Germund Dahlquist, Åke Björck · 250

A Fortran Multiple-Precision Arithmetic Package

1978 · Richard P. Brent · ACM Transactions on Mathematical Software · 217

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A Fortran 90-based multiprecision system

1995 · David H. Bailey · ACM Transactions on Mathematical Software · 216

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Design, analysis, and implementation of a multiprecision polynomial rootfinder

2000 · Dario Andrea Bini, Giuseppe Fiorentino · Numerical Algorithms · 182

C-Xsc: A C++ Class Library for Extended Scientific Computing

1993 · Rudi Klatte, George F. Corliss · CERN Document Server (European Organization for Nuclear Research) · 179

The Exact Computation Paradigm

1995 · CHEE YAP, THOMAS DUBÉ · Lecture notes series on computing · 174

A Computer Algorithm for Calculating the Product AB Modulo M

1983 · G.R. Blakely · IEEE Transactions on Computers · 168

Multiple-precision Zero-finding Methods and the Complexity of Elementary Function Evaluation

1976 · Richard P. Brent · Elsevier eBooks · 152

Parallel integer relation detection: Techniques and applications

2000 · David Bailey, David Broadhurst · Mathematics of Computation · 148

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MIRACL-A multiprecision integer and rational arithmetic C/C++ library

2003 · Michael Scott · Medical Entomology and Zoology · 146

Algorithm 719: Multiprecision translation and execution of FORTRAN programs

1993 · David H. Bailey · ACM Transactions on Mathematical Software · 140

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VSVO formulation of the taylor method for the numerical solution of ODEs

2005 · R. Barrio, F. Blesa, et al. · Computers & Mathematics with Applications · 120

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The Determination of Galois Groups

1973 · Richard P. Stauduhar · Mathematics of Computation · 118

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Adaptive Multiprecision Path Tracking

2008 · Daniel J. Bates, Jonathan D. Hauenstein, et al. · SIAM Journal on Numerical Analysis · 100

Solving secular and polynomial equations: A multiprecision algorithm

2013 · Dario A. Bini, Leonardo Robol · Journal of Computational and Applied Mathematics · 96

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Two Fast GCD Algorithms

1994 · J. Sorenson · Journal of Algorithms · 96

Accelerating Fully Homomorphic Encryption in Hardware

2014 · Yarkin Doroz, Erdinc Ozturk, et al. · IEEE Transactions on Computers · 95

Implementing a chaotic cryptosystem in a 64-bit embedded system by using multiple-precision arithmetic

2019 · A. Flores-Vergara, E. E. García-Guerrero, et al. · Nonlinear Dynamics · 93

Works count: 1,047

Citation count: 11,950