Results 1 to 10 of about 95,300 (209)
Computing the Lambert W function in arbitrary-precision complex interval arithmetic [PDF]
Numerical Algorithms, 2017 We describe an algorithm to evaluate all the complex branches of the Lambert W function with rigorous error bounds in arbitrary-precision interval arithmetic or ball arithmetic. The classic 1996 paper on the Lambert W function by Corless et al.
Fredrik Johansson
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Using Arbitrary Precision Arithmetic to Sharpen Identification Analysis for DSGE Models
Journal of Applied Econometrics, 2023 This paper is at the intersection of macroeconomics and modern computer arithmetic. It seeks to apply arbitrary precision arithmetic to resolve practical diffi culties arising in the identification analysis of log linearized DSGE models.
Zhongjun Qu, D. Tkachenko
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Arbitrary precision arithmetic-SIMD style [PDF]
Proceedings Eleventh International Conference on VLSI Design, 1998 Current day general purpose processors have been enhanced with what is called "media instruction set" to achieve performance gains in applications that are media processing intensive. The instruction set that has been added exploits the fact that media applications have small native datatypes and have widths much less than that supported by commercial ...
S. Balakrishnan, S. Nandy
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Applied Sciences, 2023 In recent years, interest in approximate computing has been increasing significantly in many disciplines in the context of saving energy and computation cost by trading off on the quality of numerical simulation.
Alexey Cherezov +2 more
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Arpra: An Arbitrary Precision Range Analysis Library
Frontiers in Neuroinformatics, 2021 Motivated by the challenge of investigating the reproducibility of spiking neural network simulations, we have developed the Arpra library: an open source C library for arbitrary precision range analysis based on the mixed Interval Arithmetic (IA)/Affine
James Paul Turner, Thomas Nowotny
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Software Support for Arbitrary Precision Arithmetic in Programming Languages
Indian Journal of Cryptography and Network Security, 2023 Arbitrary precision arithmetic, also known as bignum arithmetic, is a computational technique that allows programmers to perform arithmetic operations on numbers with significantly higher precision and magnitude than what is typically supported by the ...
D. K. Balasubramanian
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Numerical integration in arbitrary-precision ball arithmetic [PDF]
International Congress on Mathematical Software, 2018 We present an implementation of arbitrary-precision numerical integration with rigorous error bounds in the Arb library. Rapid convergence is ensured for piecewise complex analytic integrals by use of the Petras algorithm, which combines adaptive ...
Fredrik Johansson
semanticscholar +5 more sources
Arb: Efficient Arbitrary-Precision Midpoint-Radius Interval Arithmetic [PDF]
IEEE Transactions on Computers, 2016 Arb is a C library for arbitrary-precision interval arithmetic using the midpoint-radius representation, also known as ball arithmetic. It supports real and complex numbers, polynomials, power series, matrices, and evaluation of many special functions ...
Fredrik Johansson
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A type-safe arbitrary precision arithmetic portability layer for HLS tools [PDF]
Proceedings of the 10th International Symposium on Highly-Efficient Accelerators and Reconfigurable Technologies, 2019 Recent studies have shown that High-Level Synthesis (HLS) is an efficient way to design operators for floating-point arithmetic, or for emerging alternative formats such as posits.
Luc Forget +3 more
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A parallel algorithm for calculation of determinants and minors using arbitrary precision arithmetic [PDF]
BIT Numerical Mathematics, 2013 We present a parallel algorithm for calculating determinants of matrices in arbitrary precision arithmetic on computer clusters. This algorithm limits data movements between the nodes and computes not only the determinant but also all the minors ...
G. Beliakov, Y. Matiyasevich
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