Results 11 to 20 of about 67,589 (200)

FPGA-Specific Custom VLIW Architecture for Arbitrary Precision Floating-Point Arithmetic

IEICE Transactions on Information and Systems, 2011
Many scientific applications require efficient variable-precision floating-point arithmetic. This paper presents a special-purpose Very Large Instruction Word (VLIW) architecture for variable precision floating-point arithmetic (VV-Processor) on FPGA.
Yuanwu Lei
exaly   +3 more sources

A parallel algorithm for calculation of determinants and minors using arbitrary precision arithmetic [PDF]

BIT Numerical Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gleb Beliakov, Yuri Matiyasevich
exaly   +2 more sources

Automatic Differentiation in ROOT [PDF]

EPJ Web of Conferences, 2020
In mathematics and computer algebra, automatic differentiation (AD) is a set of techniques to evaluate the derivative of a function specified by a computer program.
Vassilev Vassil, Efremov Aleksandr, Shadura Oksana   +2 more
doaj   +1 more source

JGMP: Java bindings and wrappers for the GMP library

SoftwareX, 2023
The GNU Multiple Precision Arithmetic Library (GMP) is a widely used library for computing with arbitrary precision arithmetic. The library has functionally complete bindings for many programming languages, including .NET, C++, OCaml, Python, Ruby, and ...
Gianluca Amato, Francesca Scozzari
doaj   +1 more source

Effectiveness of Floating-Point Precision on the Numerical Approximation by Spectral Methods

Mathematical and Computational Applications, 2021
With the fast advances in computational sciences, there is a need for more accurate computations, especially in large-scale solutions of differential problems and long-term simulations. Amid the many numerical approaches to solving differential problems,
José A. O. Matos, Paulo B. Vasconcelos
doaj   +1 more source

Computing the Density of the Positivity Set for Linear Recurrence Sequences [PDF]

Logical Methods in Computer Science, 2023
The set of indices that correspond to the positive entries of a sequence of numbers is called its positivity set. In this paper, we study the density of the positivity set of a given linear recurrence sequence, that is the question of how much more ...
Edon Kelmendi
doaj   +1 more source

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
doaj   +1 more source

Divisions and Square Roots with Tight Error Analysis from Newton–Raphson Iteration in Secure Fixed-Point Arithmetic

Cryptography, 2023
In this paper, we present new variants of Newton–Raphson-based protocols for the secure computation of the reciprocal and the (reciprocal) square root.
Stan Korzilius, Berry Schoenmakers
doaj   +1 more source

Acceleration of Nuclear Reactor Simulation and Uncertainty Quantification Using Low-Precision Arithmetic

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, Alexander Vasiliev, Hakim Ferroukhi   +2 more
doaj   +1 more source

The Prime state and its quantum relatives [PDF]

Quantum, 2020
The Prime state of $n$ qubits, ${|\mathbb{P}_n{\rangle}}$, is defined as the uniform superposition of all the computational-basis states corresponding to prime numbers smaller than $2^n$. This state encodes, quantum mechanically, arithmetic properties of
D. García-Martín, E. Ribas, S. Carrazza, J.I. Latorre, G. Sierra   +4 more
doaj   +1 more source