Results 11 to 20 of about 205,230 (331)
The impact of the proposed standard for floating point arithmetic on languages and systems [PDF]
IEEE Computer Graphics and Applications, 1979 The author discusses IEEE floating point representation that stores numbers in what amounts to scientific notation. He considers the sign bit, the logarithm function, function approximations, errors and refinements.
Stuart I. Feldman
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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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Applied Sciences, 2021 Hardware-in-the-loop (HIL) simulations of power converters must achieve a truthful representation in real time with simulation steps on the order of microseconds or tens of nanoseconds. The numerical solution for the differential equations that model the
Roberto Saralegui +2 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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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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Approximate counting with a floating-point counter [PDF]
, 2009 Memory becomes a limiting factor in contemporary applications, such as analyses of the Webgraph and molecular sequences, when many objects need to be counted simultaneously.
Csuros, Miklos
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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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