A Convolve-And-MErge Approach for Exact Computations on High-Performance Reconfigurable Computers [PDF]
International Journal of Reconfigurable Computing, 2012 This work presents an approach for accelerating arbitrary-precision arithmetic on high-performance reconfigurable computers (HPRCs). Although faster and smaller, fixed-precision arithmetic has inherent rounding and overflow problems that can cause errors
Esam El-Araby +3 more
doaj +6 more sources
Arb: Efficient Arbitrary-Precision Midpoint-Radius Interval Arithmetic [PDF]
IEEE Transactions on Computers, 2017 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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Motivations for an Arbitrary Precision Interval Arithmetic and the MPFI Library [PDF]
Reliable Computing, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nathalie Revol, Fabrice Rouillier
exaly +5 more sources
Computing the Lambert W function in arbitrary-precision complex interval arithmetic [PDF]
Numerical Algorithms, 2019 16 pages, 4 ...
Fredrik Johansson
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Using arbitrary precision arithmetic to sharpen identification analysis for DSGE models
Journal of Applied Econometrics, 2023 SummaryWe introduce arbitrary precision arithmetic to resolve practical difficulties arising in the identification analysis of dynamic stochastic general equilibrium (DSGE) models. A three‐step procedure is proposed to address local and global identification and the empirical distance between models.
Zhongjun Qu, Denis Tkachenko
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Arbitrary Precision Mathematica Functions to Evaluate the One-Sided One Sample K-S Cumulative Sampling Distribution [PDF]
Journal of Statistical Software, 2008 Efficient rational arithmetic methods that can exactly evaluate the cumulative sampling distribution of the one-sided one sample Kolmogorov-Smirnov (K-S) test have been developed by Brown and Harvey (2007) for sample sizes n up to fifty thousand.
J. Randall Brown, Milton E. Harvey
doaj +1 more source
Acceleration of Complex Matrix Multiplication Using Arbitrary Precision Floating-Point Arithmetic
2023 International Conference on Engineering and Emerging Technologies (ICEET), 2023 Efficient multiple precision linear numerical computation libraries such as MPLAPACK are critical in dealing with ill-conditioned problems. Specifically, there are optimization methods for matrix multiplication, such as the Strassen algorithm and the Ozaki scheme, which can be used to speed up computation.
Tomonori Kouya
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Simulating gravitational collapse with arbitrary-precision arithmetic [PDF]
, 2015 The collapse of smooth initial conditions into Black Holes is an important phenomenon to unlock fundamental aspects of the gravitational theory. In this paper we go closer to the formation of the apparent horizon using arbitrary-precision arithmetic ...
Santos-Oliván, Daniel +1 more
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Correctly Rounded Arbitrary-Precision Floating-Point Summation [PDF]
, 2016 International audienceWe present a fast algorithm together with its low-level implementation of correctly rounded arbitrary-precision floating-point summation. The arithmetic is the one used by the GNU MPFR library: radix 2; no subnormals; each variable (
Vincent Lefèvre
exaly +9 more sources
PyChelator: a Python-based Colab and web application for metal chelator calculations [PDF]
BMC BioinformaticsBackground Metal ions play vital roles in regulating various biological systems, making it essential to control the concentration of free metal ions in solutions during experimental procedures.
Emrulla Spahiu +2 more
doaj +2 more sources