Search results for "multiple-precision"

Hits ?▲	Authors	Title	Venue	Year	Link	Author keywords
49	Daisuke Takahashi	Implementation of Multiple-Precision Parallel Division and Square Root on Distributed-Memory Parallel Computers.	ICPP Workshops	2000	DBLP DOI BibTeX RDF
42	Laurent Fousse, Guillaume Hanrot, Vincent Lefèvre, Patrick Pélissier, Paul Zimmermann	MPFR: A multiple-precision binary floating-point library with correct rounding.	ACM Trans. Math. Softw.	2007	DBLP DOI BibTeX RDF	correct rounding, floating-point arithmetic, elementary function, Multiple-precision arithmetic, IEEE 754 standard, portable software
39	Liusheng Huang, Hong Zhong 0001, Hong Shen 0001, Yonglong Luo	An Efficient Multiple-Precision Division Algorithm.	PDCAT	2005	DBLP DOI BibTeX RDF	algorithm, division, multiple-precision
39	María C. Molina, José M. Mendías, Román Hermida	High-level synthesis of multiple-precision circuitsindependent of data-objects length.	DAC	2002	DBLP DOI BibTeX RDF	scheduling, high-level synthesis, allocation, multiple-precision
35	David M. Smith	Algorithm 786: Multiple-Precision Complex Arithmetic and Functions.	ACM Trans. Math. Softw.	1998	DBLP DOI BibTeX RDF	mathematical library, accuracy, floating point, function evaluation, multiple precision, portable software, complex arithmetic
30	Kaiyong Zhao, Xiaowen Chu 0001	GPUMP: A Multiple-Precision Integer Library for GPUs.	CIT	2010	DBLP DOI BibTeX RDF	Multiple-precision algorithm, GPU, CUDA
30	David M. Smith	Algorithm 814: Fortran 90 software for floating-point multiple precision arithmetic, gamma and related functions.	ACM Trans. Math. Softw.	2001	DBLP DOI BibTeX RDF	gamma function, mathematical library, Fortran, Accuracy, floating point, function evaluation, multiple precision, portable software
29	William D. Clinger	How to read floating point numbers accurately (with retrospective)	Best of PLDI	1990	DBLP DOI BibTeX RDF
29	William D. Clinger	How to Read Floating-Point Numbers Accurately.	PLDI	1990	DBLP DOI BibTeX RDF
25	Cao Zhang, Duncan A. Buell, Allen Michalski	The Darpa Multiple Precision Arithmetic Benchmark on a Reconfigurable Computer.	FPL	2006	DBLP DOI BibTeX RDF
24	Jaewook Chung, M. Anwar Hasan	Asymmetric Squaring Formulae.	IEEE Symposium on Computer Arithmetic	2007	DBLP DOI BibTeX RDF	Karatsuba algorithm, Toom- Cook multiplication algorithm, Montgomery’s Karatsuba-like formulae, Squaring, multiple-precision arithmetic
24	Nikolaos Demiris, Philip D. O'Neill	Computation of final outcome probabilities for the generalised stochastic epidemic.	Stat. Comput.	2006	DBLP DOI BibTeX RDF	Stochastic epidemic models, Final size, Markov chain Monte Carlo Methods, Multiple precision arithmetic, Limit theorems
24	Norbert Th. Müller	The iRRAM: Exact Arithmetic in C++.	CCA	2000	DBLP DOI BibTeX RDF	Computable Real Analysis, Multi-valued functions, C++, Interval Arithmetic, Limits, Random Access Machines, Multiple Precision Arithmetic
24	Stephen R. Dussé, Burton S. Kaliski Jr.	A Cryptographic Library for the Motorola DSP56000.	EUROCRYPT	1990	DBLP DOI BibTeX RDF	Encryption hardware, Message digest, Montgomery reduction, Motorola DSP56000, RSA, Data Encryption Standard (DES), Modular arithmetic, Multiple-precision arithmetic
22	Marc Pauwels, Gert Goossens, Francky Catthoor, Hugo De Man	Formalisation of multi-precision arithmetic for high-level synthesis of DSP architectures.	J. VLSI Signal Process.	1995	DBLP DOI BibTeX RDF
21	María C. Molina, José M. Mendías, Román Hermida	Multiple-Precision Circuits Allocation Independent of Data-Objects Length.	DATE	2002	DBLP DOI BibTeX RDF
21	Marvin L. Stein	Divide-and-correct methods for multiple precision division.	Commun. ACM	1964	DBLP DOI BibTeX RDF
19	Laurent Fousse	Accurate Multiple-Precision Gauss-Legendre Quadrature.	IEEE Symposium on Computer Arithmetic	2007	DBLP DOI BibTeX RDF
19	Markus Grimmer, Knut Petras, Nathalie Revol	Multiple Precision Interval Packages: Comparing Different Approaches.	Numerical Software with Result Verification	2003	DBLP DOI BibTeX RDF
19	Johann Großschädl, Guy-Armand Kamendje	Optimized RISC Architecture for Multiple-Precision Modular Arithmetic.	SPC	2003	DBLP DOI BibTeX RDF	RSA Algorithm, Finely IntegratedOperand Scanning (FIOS), Multi-Application Smart Cards, Montgomery Multiplication
19	Higinio Mora Mora, Jerónimo Mora Pascual, Juan Manuel García Chamizo, Antonio Jimeno-Morenilla	Real-time arithmetic unit.	Real Time Syst.	2006	DBLP DOI BibTeX RDF	Real-time, Computer arithmetic, Imprecise computation, Multiple-precision arithmetic
19	Damien Stehlé, Vincent Lefèvre, Paul Zimmermann	Searching Worst Cases of a One-Variable Function Using Lattice Reduction.	IEEE Trans. Computers	2005	DBLP DOI BibTeX RDF	special function approximations, Computer arithmetic, multiple precision arithmetic
19	Keith O. Geddes, Wei Wei Zheng	Exploiting fast hardware floating point in high precision computation.	ISSAC	2003	DBLP DOI BibTeX RDF	arbitrary precision, floating point, least squares, nonlinear systems, linear systems, iterative refinement, multiple precision
19	B. G. S. Doman, C. J. Pursglove, W. M. Coen	A Set of Ada Packages for High Precision Calculations.	ACM Trans. Math. Softw.	1995	DBLP DOI BibTeX RDF	arithmetic elementary-function evaluation, multiple-precision portable software, Ada, accuracy, floating point
19	Nobuaki Yoshida, Eiichi Goto, Shuichi Ichikawa	Pseudorandom Rounding for Truncated Multipliers.	IEEE Trans. Computers	1991	DBLP DOI BibTeX RDF	truncated multipliers, pseudorandom rounding, digital arithmetic, multiplications, rounding, floating-point numbers, multiple-precision
19	G. R. Blakley	A Computer Algorithm for Calculating the Product AB Modulo M.	IEEE Trans. Computers	1983	DBLP DOI BibTeX RDF	seminumerical algorithms, products in Galois fields, Algorithms, products, modular multiplication, modular arithmetic, integer arithmetic, multiple precision arithmetic
19	Tomonori Kouya	Acceleration of multiple precision solver for ill-conditioned algebraic equations with lower precision eigensolver.	CoRR	2022	DBLP DOI BibTeX RDF
19	Hongbing Tan, Run Yan, Ling Yang, Libo Huang, Liquan Xiao, Qianming Yang	Efficient Multiple-Precision and Mixed-Precision Floating-Point Fused Multiply-Accumulate Unit for HPC and AI Applications.	ICA3PP	2022	DBLP DOI BibTeX RDF
19	Tomonori Kouya	Acceleration of Multiple Precision Solver for Ill-Conditioned Algebraic Equations with Lower Precision Eigensolver.	ICCSA (Workshops 2)	2022	DBLP DOI BibTeX RDF
19	Tomonori Kouya	Accelerated Multiple Precision Direct Method and Mixed Precision Iterative Refinement on Python Programming Environment.	CoRR	2021	DBLP BibTeX RDF
19	Hao Zhang 0041, Dongdong Chen 0002, Seok-Bum Ko	Efficient Multiple-Precision Floating-Point Fused Multiply-Add with Mixed-Precision Support.	IEEE Trans. Computers	2019	DBLP DOI BibTeX RDF
19	Valentina Popescu	Towards fast and certified multiple-precision libraries. (Vers des bibliothèques multi-précision certifiées et performantes).		2017	RDF
19	Niall Emmart, Charles C. Weems	Parallel multiple precision division by a single precision divisor.	HiPC	2011	DBLP DOI BibTeX RDF
19	Daisuke Takahashi	A Parallel Algorithm for Multiple-Precision Division by a Single-Precision Integer.	LSSC	2007	DBLP DOI BibTeX RDF
19	Vikas Agrawal, Anand Pande, Mahesh Mehendale	High Level Synthesis Of Multi-Precision Data Flow Graphs.	VLSI Design	2001	DBLP DOI BibTeX RDF
16	María C. Molina, José M. Mendías, Román Hermida	Bit-Level Allocation of Multiple-Precision Specifications.	DSD	2002	DBLP DOI BibTeX RDF
16	Hagen Ploog, Dirk Timmermann	On Multiple Precision Based Montgomery Multiplication without Precomputation of N0´ = -N0-1 mod W.	ICCD	2000	DBLP DOI BibTeX RDF
16	Richard P. Brent	Algorithm 524: MP, A Fortran Multiple-Precision Arithmetic Package [A1].	ACM Trans. Math. Softw.	1978	DBLP DOI BibTeX RDF	FORTRAN
16	Albert G. Cox, H. A. Luther	A note on multiple precision arithmetic.	Commun. ACM	1961	DBLP DOI BibTeX RDF
15	Yu Pang, Katarzyna Radecka	Optimizing imprecise fixed-point arithmetic circuits specified by Taylor Series through arithmetic transform.	DAC	2008	DBLP DOI BibTeX RDF	DSP circuit synthesis, optimization, error analysis, Taylor Series
15	David H. Bailey, Robert Krasny, Richard B. Pelz	Multiple Precision, Multiple Processor Vortex Sheet Roll-Up Computation.	PPSC	1993	DBLP BibTeX RDF
12	Frithjof Blomquist, Werner Hofschuster, Walter Krämer	A Modified Staggered Correction Arithmetic with Enhanced Accuracy and Very Wide Exponent Range.	Numerical Validation in Current Hardware Architectures	2008	DBLP DOI BibTeX RDF	AMS classification 65G20, 65Y99, 37M99, 30-04, 65G30
12	Nathalie Revol, Fabrice Rouillier	Motivations for an Arbitrary Precision Interval Arithmetic and the MPFI Library.	Reliab. Comput.	2005	DBLP DOI BibTeX RDF
11	Boyu Li, Kai Li, Jiajun Zhou, Yuan Ren, Wei Mao 0002, Hao Yu 0001, Ngai Wong	A Reconfigurable Processing Element for Multiple-Precision Floating/Fixed-Point HPC.	IEEE Trans. Circuits Syst. II Express Briefs	2024	DBLP DOI BibTeX RDF
11	Tomonori Kouya	Performance evaluation of accelerated complex multiple-precision LU decomposition.	CoRR	2024	DBLP DOI BibTeX RDF
11	Mofreh R. Zaghloul	Efficient multiple-precision computation of the scaled complementary error function and the Dawson integral.	Numer. Algorithms	2024	DBLP DOI BibTeX RDF
11	Takuya Edamatsu, Daisuke Takahashi	Fast Multiple-Precision Integer Division Using Intel AVX-512.	IEEE Trans. Emerg. Top. Comput.	2023	DBLP DOI BibTeX RDF
11	Taiga Utsugiri, Tomonori Kouya	Acceleration of Multiple Precision Matrix Multiplication using Ozaki scheme.	CoRR	2023	DBLP DOI BibTeX RDF
11	Jung Hee Cheon, Wonhee Cho 0001, Jaehyung Kim, Damien Stehlé	Homomorphic Multiple Precision Multiplication for CKKS and Reduced Modulus Consumption.	IACR Cryptol. ePrint Arch.	2023	DBLP BibTeX RDF
11	Shenghui Su, Ping Luo	Time Complexities of Multiple-precision Modular Operations and Related Ratios.	IACR Cryptol. ePrint Arch.	2023	DBLP BibTeX RDF
11	Jung Hee Cheon, Wonhee Cho 0001, Jaehyung Kim, Damien Stehlé	Homomorphic Multiple Precision Multiplication for CKKS and Reduced Modulus Consumption.	CCS	2023	DBLP DOI BibTeX RDF
11	Tomonori Kouya, Taiga Utsugiri	Optimization of Multiple-Precision LU Decomposition Using Ozaki Scheme.	ICCSA (Workshops 2)	2023	DBLP DOI BibTeX RDF
11	Jing Zhang, Libo Huang, Hongbing Tan, Ling Yang, Zhong Zheng, Qianming Yang	Low-Cost Multiple-Precision Multiplication Unit Design For Deep Learning.	ACM Great Lakes Symposium on VLSI	2023	DBLP DOI BibTeX RDF
11	Emil M. Oanta	Multiple Precision in Data Analysis and Modeling.	IDAACS	2023	DBLP DOI BibTeX RDF
11	Wei Mao 0002, Kai Li, Quan Cheng, Liuyao Dai, Boyu Li, Xinang Xie, He Li 0008, Longyang Lin, Hao Yu 0001	A Configurable Floating-Point Multiple-Precision Processing Element for HPC and AI Converged Computing.	IEEE Trans. Very Large Scale Integr. Syst.	2022	DBLP DOI BibTeX RDF
11	Konstantin Isupov	Multiple-precision sparse matrix-vector multiplication on GPUs.	J. Comput. Sci.	2022	DBLP DOI BibTeX RDF
11	Leonid V. Moroz, Volodymyr Samotyy, Zbigniew Kokosinski, Pawel Gepner	Simple Multiple Precision Algorithms for Exponential Functions [Tips & Tricks].	IEEE Signal Process. Mag.	2022	DBLP DOI BibTeX RDF
11	Tomonori Kouya	Acceleration of multiple precision matrix multiplication based on multi-component floating-point arithmetic using AVX2.	CoRR	2021	DBLP BibTeX RDF
11	Bradley S. Price, Aaron J. Molstad, Ben Sherwood	Estimating Multiple Precision Matrices With Cluster Fusion Regularization.	J. Comput. Graph. Stat.	2021	DBLP DOI BibTeX RDF
11	Wei Mao 0002, Kai Li, Xinang Xie, Shirui Zhao, He Li 0008, Hao Yu 0001	A Reconfigurable Multiple-Precision Floating-Point Dot Product Unit for High-Performance Computing.	DATE	2021	DBLP DOI BibTeX RDF
11	Song Zhang, Jiangyuan Gu, Shouyi Yin, Leibo Liu, Shaojun Wei	A Multiple-Precision Multiply and Accumulation Design with Multiply-Add Merged Strategy for AI Accelerating.	ASP-DAC	2021	DBLP DOI BibTeX RDF
11	Kai Li, Wei Mao 0002, Xinang Xie, Quan Cheng, Huan Xie, Zhenjiang Dong, Hao Yu 0001	Multiple-Precision Floating-Point Dot Product Unit for Efficient Convolution Computation.	AICAS	2021	DBLP DOI BibTeX RDF
11	Hao Zhang 0041, Seok-Bum Ko	Efficient Multiple-Precision Posit Multiplier.	ISCAS	2021	DBLP DOI BibTeX RDF
11	Tomonori Kouya	Acceleration of Multiple Precision Matrix Multiplication Based on Multi-component Floating-Point Arithmetic Using AVX2.	ICCSA (5)	2021	DBLP DOI BibTeX RDF
11	Yu-Hsun Lee, Hiroshi Fujiwara	Multiple-Precision Arithmetic of Biot-Savart Integrals for Reconnections of Vortex Filaments.	ICCSA (5)	2021	DBLP DOI BibTeX RDF
11	Tomasz P. Stefanski, Kamil Rudnicki, Wojciech Zebrowski	Implementation of Coprocessor for Integer Multiple Precision Arithmetic on Zynq Ultrascale+ MPSoC.	MIXDES	2021	DBLP DOI BibTeX RDF
11	Hao Zhang 0041, Dongdong Chen 0002, Seok-Bum Ko	New Flexible Multiple-Precision Multiply-Accumulate Unit for Deep Neural Network Training and Inference.	IEEE Trans. Computers	2020	DBLP DOI BibTeX RDF
11	Konstantin Isupov, Vladimir Knyazkov, Alexander Kuvaev	Design and implementation of multiple-precision BLAS Level 1 functions for graphics processing units.	J. Parallel Distributed Comput.	2020	DBLP DOI BibTeX RDF
11	Bradley S. Price, Aaron J. Molstad, Ben Sherwood	Estimating Multiple Precision Matrices with Cluster Fusion Regularization.	CoRR	2020	DBLP BibTeX RDF
11	Ivan Hristov, Radoslava Hristova, Stefka Dimova, Petar Armyanov, Nikolay Shegunov, Igor V. Puzynin, Taisia P. Puzynina, Zarif Sharipov, Zafar Tukhliev	Parallelizing multiple precision Taylor series method for integrating the Lorenz system.	CoRR	2020	DBLP BibTeX RDF
11	Konstantin Isupov, Vladimir Knyazkov	Multiple-Precision BLAS Library for Graphics Processing Units.	RuSCDays	2020	DBLP DOI BibTeX RDF
11	Stefka Dimova, Ivan Hristov, Radoslava Hristova, Igor V. Puzynin, Taisia P. Puzynina, Zarif Sharipov, Nikolay Shegunov, Zafar Tukhliev	OpenMP parallelization of multiple precision Taylor series method.	CoRR	2019	DBLP BibTeX RDF
11	Jyrki Katajainen	Hacker's Multiple-Precision Integer-Division Program in Close Scrutiny.	SEA²	2019	DBLP DOI BibTeX RDF
11	Hotaka Yagi, Emiko Ishiwata, Hidehiko Hasegawa	Acceleration of Interactive Multiple Precision Arithmetic Toolbox MuPAT Using FMA, SIMD, and OpenMP.	PARCO	2019	DBLP DOI BibTeX RDF
11	Konstantin Isupov, Alexander Kuvaev	Multiple-Precision Scaled Vector Addition on Graphics Processing Unit.	PaCT	2019	DBLP DOI BibTeX RDF
11	Kamil Rudnicki, Tomasz P. Stefanski	Implementation of Addition and Subtraction Operations in Multiple Precision Arithmetic.	MIXDES	2019	DBLP DOI BibTeX RDF
11	Kamil Rudnicki, Tomasz P. Stefanski	IP Core of Coprocessor for Multiple-Precision-Arithmetic Computative.	MIXDES	2018	DBLP DOI BibTeX RDF
11	Tomonori Kouya	Tuning Technique for Multiple Precision Dense Matrix Multiplication using Prediction of Computational Time.	CoRR	2017	DBLP BibTeX RDF
11	Joris van der Hoeven	Multiple Precision Floating-Point Arithmetic on SIMD Processors.	ARITH	2017	DBLP DOI BibTeX RDF
11	Konstantin Isupov, Alexander Kuvaev, Mikhail Popov, Anton Zaviyalov	Multiple-Precision Residue-Based Arithmetic Library for Parallel CPU-GPU Architectures: Data Types and Features.	PaCT	2017	DBLP DOI BibTeX RDF
11	Makoto Miyazaki, Susumu Matsumae	Improving Multiple Precision Integer Multiplication on GPUs.	CANDAR	2017	DBLP DOI BibTeX RDF
11	Kamil Rudnicki, Tomasz P. Stefanski	FPGA implementation of the multiplication operation in multiple-precision arithmetic.	MIXDES	2017	DBLP DOI BibTeX RDF
11	Tomonori Kouya	Performance evaluation of multiple precision matrix multiplications using parallelized Strassen and Winograd algorithms.	JSIAM Lett.	2016	DBLP DOI BibTeX RDF
11	Konstantinos Manolopoulos, Dionisios I. Reisis, Vassilios A. Chouliaras	An efficient multiple precision floating-point Multiply-Add Fused unit.	Microelectron. J.	2016	DBLP DOI BibTeX RDF
11	Marc Mezzarobba	Rigorous Multiple-Precision Evaluation of D-Finite Functions in SageMath.	CoRR	2016	DBLP BibTeX RDF
11	Mioara Joldes, Jean-Michel Muller, Valentina Popescu, Warwick Tucker	CAMPARY: Cuda Multiple Precision Arithmetic Library and Applications.	ICMS	2016	DBLP DOI BibTeX RDF
11	Boon-Chiao Chang, Bok-Min Goi, Raphael C.-W. Phan, Wai-Kong Lee	Accelerating Multiple Precision Multiplication in GPU with Kepler Architecture.	HPCC/SmartCity/DSS	2016	DBLP DOI BibTeX RDF
11	Toshiaki Hishinuma, Takuma Sakakibara, Akihiro Fujii, Teruo Tanaka, Shoichi Hirasawa	Xev-GMP: Automatic Code Generation for GMP Multiple-Precision Code from C Code.	CSE/EUC/DCABES	2016	DBLP DOI BibTeX RDF
11	Daisuke Takahashi	Implementation of Multiple-Precision Floating-Point Arithmetic on Intel Xeon Phi Coprocessors.	ICCSA (2)	2016	DBLP DOI BibTeX RDF
11	Wonyul Lee, Yufeng Liu	Joint estimation of multiple precision matrices with common structures.	J. Mach. Learn. Res.	2015	DBLP BibTeX RDF
11	Tomonori Kouya	Performance evaluation of multiple precision matrix multiplications using parallelized Strassen and Winograd algorithms.	CoRR	2015	DBLP BibTeX RDF
11	Anastasia Volkova, Thibault Hilaire, Christoph Quirin Lauter	Reliable Evaluation of the Worst-Case Peak Gain Matrix in Multiple Precision.	ARITH	2015	DBLP DOI BibTeX RDF
11	Torben Hagerup	Easy Multiple-Precision Divisors and Word-RAM Constants.	MFCS (2)	2015	DBLP DOI BibTeX RDF
11	Konstantin Isupov, Vladimir Knyazkov	A Modular-Positional Computation Technique for Multiple-Precision Floating-Point Arithmetic.	PaCT	2015	DBLP DOI BibTeX RDF
11	Debapriyay Mukhopadhyay, Subhas C. Nandy	Efficient multiple-precision integer division algorithm.	Inf. Process. Lett.	2014	DBLP DOI BibTeX RDF
11	Tomonori Kouya	Accelerated multiple precision matrix multiplication using Strassen's algorithm and Winograd's variant.	JSIAM Lett.	2014	DBLP DOI BibTeX RDF
11	Tomonori Kouya	Accelerated Multiple Precision Matrix Multiplication using Strassen's Algorithm and Winograd's Variant.	CoRR	2014	DBLP BibTeX RDF
11	Tomonori Kouya	A Highly Efficient Implementation of Multiple Precision Sparse Matrix-Vector Multiplication and Its Application to Product-type Krylov Subspace Methods.	CoRR	2014	DBLP BibTeX RDF
11	Satoko Kikkawa, Tsubasa Saito, Emiko Ishiwata, Hidehiko Hasegawa	Development and acceleration of multiple precision arithmetic toolbox MuPAT for Scilab.	JSIAM Lett.	2013	DBLP DOI BibTeX RDF
11	Shiann-Rong Kuang, Kun-Yi Wu, Kee-Khuan Yu	Energy-Efficient Multiple-Precision Floating-Point Multiplier for Embedded Applications.	J. Signal Process. Syst.	2013	DBLP DOI BibTeX RDF