Results 21 to 30 of about 97,714 (259)
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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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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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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IEEE Access, 2020 Matrix computing is a basic operational model that was broadly used in science and engineering applications. In this study, we first propose a novel optimization method to obtain a high-performance and scalable architecture for matrix multiplication ...
Longlong Zhang +3 more
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Low-Latency Bit-Accurate Architecture for Configurable Precision Floating-Point Division
Applied Sciences, 2021 Floating-point division is indispensable and becoming increasingly important in many modern applications. To improve speed performance of floating-point division in actual microprocessors, this paper proposes a low-latency architecture with a multi ...
Jincheng Xia +3 more
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Integer Representation of Floating-Point Manipulation with Float Twice
IJID (International Journal on Informatics for Development), 2020 In the programming world, understanding floating point is not easy, especially if there are floating point and bit-level interactions. Although there are currently many libraries to simplify the computation process, still many programmers today who do ...
Wakhid Kurniawan +3 more
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Floating-Point LLL Revisited [PDF]
, 2005 Everybody knows the Lenstra-Lenstra-Lovász lattice basis reduction algorithm (LLL), which has proved invaluable in public-key cryptanalysis and in many other fields. Given an integer $d$-dimensional lattice basis which vectors have norms smaller than $B$, LLL outputs a so-called LLL-reduced basis in time $O(d^6 log^3 B)$, using arithmetic operations on
Nguyen, Phong Q., Stehlé, Damien
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An Asynchronous Floating-Point Multiplier [PDF]
2012 IEEE 18th International Symposium on Asynchronous Circuits and Systems, 2012 We present the details of our energy-efficient asynchronous floating-point multiplier (FPM). We discuss design trade-offs of various multiplier implementations. A higher radix array multiplier design with operand-dependent carry-propagation adder and low handshake overhead pipeline design is presented, which yields significant energy savings while ...
Basit Riaz Sheikh, Rajit Manohar
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Termination of Floating-Point Computations
Journal of Automated Reasoning, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexander Serebrenik, Danny De Schreye
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