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» Multi-operand Floating-Point Addition
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SIAMSC
2008
104views more  SIAMSC 2008»
13 years 5 months ago
Reducing Floating Point Error in Dot Product Using the Superblock Family of Algorithms
This paper discusses both the theoretical and statistical errors obtained by various well-known dot products, from the canonical to pairwise algorithms, and introduces a new and mo...
Anthony M. Castaldo, R. Clint Whaley, Anthony T. C...
ARITH
2007
IEEE
13 years 9 months ago
A Software Implementation of the IEEE 754R Decimal Floating-Point Arithmetic Using the Binary Encoding Format
The IEEE Standard 754-1985 for Binary Floating-Point Arithmetic [1] was revised [2], and an important addition is the definition of decimal floating-point arithmetic. This is inte...
Marius Cornea, Cristina Anderson, John Harrison, P...
ARITH
2003
IEEE
13 years 9 months ago
Representable Correcting Terms for Possibly Underflowing Floating Point Operations
Studying floating point arithmetic, authors have shown that the implemented operations (addition, subtraction, multiplication, division and square root) can compute a result and a...
Sylvie Boldo, Marc Daumas
ASAP
2004
IEEE
140views Hardware» more  ASAP 2004»
13 years 9 months ago
Decimal Floating-Point Division Using Newton-Raphson Iteration
Decreasing feature sizes allow additional functionality to be added to future microprocessors to improve the performance of important application domains. As a result of rapid gro...
Liang-Kai Wang, Michael J. Schulte
SIAMSC
2008
151views more  SIAMSC 2008»
13 years 5 months ago
Accurate Floating-Point Summation Part I: Faithful Rounding
Given a vector of floating-point numbers with exact sum s, we present an algorithm for calculating a faithful rounding of s, i.e. the result is one of the immediate floating-point ...
Siegfried M. Rump, Takeshi Ogita, Shin'ichi Oishi