Results 11 to 20 of about 55,221 (243)
Innocuous Double Rounding of Basic Arithmetic Operations
Journal of Formalized Reasoning, 2014 Double rounding occurs when a floating-point value is first rounded to an intermediate precision before being rounded to a final precision. The result of two such consecutive roundings can differ from the result obtained when directly rounding to the ...
Pierre Roux
doaj +1 more source
EMD performance comparison: single vs double floating points [PDF]
, 2016 Empirical mode decomposition (EMD) is a data-driven method used to decompose data into oscillatory components. This paper examines to what extent the defined algorithm for EMD might be susceptible to data format. Two key issues with EMD are its stability
Cadenas, O. +5 more
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A Modified Staggered Correction Arithmetic with Enhanced Accuracy and Very Wide Exponent Range [PDF]
, 2008 A so called staggered precision arithmetic is a special kind of a multiple precision arithmetic based on the underlying floating point data format (typically IEEE double format) and fast floating point operations as well as exact dot product ...
Blomquist, Frithjof, Hofschuster, Werner
core +1 more source
Monte Carlo Particle Lists: MCPL [PDF]
, 2017 A binary format with lists of particle state information, for interchanging particles between various Monte Carlo simulation applications, is presented.
Cai, Xiao Xiao +5 more
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Improved Accuracy and Parallelism for MRRR-based Eigensolvers -- A Mixed Precision Approach [PDF]
, 2013 The real symmetric tridiagonal eigenproblem is of outstanding importance in numerical computations; it arises frequently as part of eigensolvers for standard and generalized dense Hermitian eigenproblems that are based on a reduction to tridiagonal form.
Bientinesi, Paolo +2 more
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Accurate Evaluation of Polynomials in Legendre Basis
Journal of Applied Mathematics, 2014 This paper presents a compensated algorithm for accurate evaluation of a polynomial in Legendre basis. Since the coefficients of the evaluated polynomial are fractions, we propose to store these coefficients in two floating point numbers, such as double ...
Peibing Du, Hao Jiang, Lizhi Cheng
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Optimising Sparse Matrix Vector multiplication for large scale FEM problems on FPGA [PDF]
, 2016 Sparse Matrix Vector multiplication (SpMV) is an important kernel in many scientific applications. In this work we propose an architecture and an automated customisation method to detect and optimise the architecture for block diagonal sparse matrices ...
Burovskiy, P +3 more
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Double precision floating point core in verilog
, 2016 A floating-point unit (FPU) is a math coprocessor, a part of a computer system specially designed to carry out operations on floating point numbers.
C. Aparna, M. Joseph
semanticscholar +1 more source
New formats for computing with real-numbers under round-to-nearest [PDF]
, 2015 An edited version of this work was accepted in IEEE Transactions on computers, DOI 10.1109/TC.2015.2479623In this paper, a new family of formats to deal with real number for applications requiring round to nearest is proposed. They are based on shifting
Hormigo-Aguilar, Javier +1 more
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Fast HUB Floating-point Adder for FPGA [PDF]
, 2018 Several previous publications have shown the area and delay reduction when implementing real number computation using HUB formats for both floating-point and fixed-point.
Gonzalez-Navarro, Sonia +2 more
core +1 more source