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Acta Numerica, 2023 Floating-point numbers have an intuitive meaning when it comes to physics-based numerical computations, and they have thus become the most common way of approximating real numbers in computers. The IEEE-754 Standard has played a large part in making floating-point arithmetic ubiquitous today, by specifying its semantics in a strict yet useful way as ...
Boldo, Sylvie +3 more
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Optimistic Parallelization of Floating-Point Accumulation [PDF]
, 2007 Floating-point arithmetic is notoriously non-associative due to the limited precision representation which demands intermediate values be rounded to fit in the available precision.
DeHon, André, Kapre, Nachiket
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On Floating-Point Summation [PDF]
SIAM Review, 1995 The author starts with a general algorithm for summing up \(n + 1\) numbers \(x_i\), \(i = 0,\dots,n\). He relates the total error \(\widehat{s}_n - s_n\) in the floating point summation to the computed intermediate machine sums \(\widehat{s}_i\) and to the initial errors \(e_{\widehat{x}_i} = \widehat{x}_i - x_i\) where \(\widehat{x}_i\) is the ...
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Sensors, 2013 This article presents a design methodology for designing an artificial neural network as an equalizer for a binary signal. Firstly, the system is modelled in floating point format using Matlab.
Santiago T. Pérez Suárez +2 more
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DESIGN AND PERFORMANCE ANALYSIS OF TERNARY LOGIC BASED ALU USING DOUBLE PRECISION FLOATING POINT [PDF]
Proceedings on Engineering SciencesIn digital circuits, particularly space signal applications, the detection/estimation of phase (angle) like milli degree is challenging and involves many complex operations.
Nagarathna R , A R Aswatha
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Simplified Floating-Point Units for High Dynamic Range Image and Video Systems [PDF]
, 2015 The upcoming arrival of high dynamic range image and video applications to consumer electronics will force the utilization of floating-point numbers on them.
Hormigo-Aguilar, Javier +1 more
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Floating-Point Matrix Product on FPGA [PDF]
, 2007 This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders.
Amira, A., Bensaali, F., Sotudeh, R.
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Verification of Floating-Point Adders [PDF]
, 1997 The floating-point(FP) division bug in Intel’s Pentium processor and the overflow flag erratum of the FIST instruction in Intel’s Pentium Pro and Pentium II processor have demonstrated the importance and the difficulty of verifying FP arithmetic circuits.
Yirng-An Chen, Randal E. Bryant
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CUDA Memory Optimizations for Large Data-Structures in the Gravit Simulator
Journal of Algorithms & Computational Technology, 2011 Modern GPUs open a completely new field to optimize embarrassingly parallel algorithms. Implementing an algorithm on a GPU confronts the programmer with a new set of challenges for program optimization.
Jakob Siegel +2 more
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Instruction Fetch Policy for SMT Processors with Different Allocations of Floating-point and Integer Resources [PDF]
Jisuanji gongcheng, 2017 In Simultaneous Multithreading(SMT) processors,different threads have different demands for floating-point and integer resources.How to allocate shared resources among threads is the key point to improve the whole performance for SMT processors.Aiming at
JIANG Shengjian,HU Xiangdong,YANG Jianxin
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