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98
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ERSA
2006
129views Hardware» more  ERSA 2006»
15 years 8 days ago
Group-Alignment based Accurate Floating-Point Summation on FPGAs
Floating-point summation is one of the most important operations in scientific/numerical computing applications and also a basic subroutine (SUM) in BLAS (Basic Linear Algebra Sub...
Chuan He, Guan Qin, Mi Lu, Wei Zhao
84
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SIAMSC
2008
168views more  SIAMSC 2008»
14 years 10 months ago
Accurate Floating-Point Summation Part II: Sign, K-Fold Faithful and Rounding to Nearest
In this Part II of this paper we first refine the analysis of error-free vector transformations presented in Part I. Based on that we present an algorithm for calculating the round...
Siegfried M. Rump, Takeshi Ogita, Shin'ichi Oishi