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ORCID22nd IEEE Symposium on Computer Arithmetic 2015: Lyon, France
- 22nd IEEE Symposium on Computer Arithmetic, ARITH 2015, Lyon, France, June 22-24, 2015. IEEE 2015, ISBN 978-1-4799-8664-4
Session 1: Keynote Talk
- Christine Proust:
Calculating in floating sexagesimal place value notation, 4000 years ago. 1
Session 2: Arithmetic Units 1
- Michael B. Sullivan, Earl E. Swartzlander Jr.:
Low-Cost Duplicate Multiplication. 2-9 - Mustafa Aktan, Dursun Baran
, Vojin G. Oklobdzija:
Minimizing Energy by Achieving Optimal Sparseness in Parallel Adders. 10-17
Session 3: Arithmetic Units 2
- Martin Kumm, Shahid Abbas, Peter Zipf:
An Efficient Softcore Multiplier Architecture for Xilinx FPGAs. 18-25 - Martin Langhammer, Bogdan Pasca:
Design and Implementation of an Embedded FPGA Floating Point DSP Block. 26-33
Session 4: Elementary and Special Functions 1
- Florent de Dinechin, Matei Istoan:
Hardware Implementations of Fixed-Point Atan2. 34-41 - David B. Thomas:
A General-Purpose Method for Faithfully Rounded Floating-Point Function Approximation in FPGAs. 42-49
Session 5: Elementary and Special Functions 2
- Toshio Fukushima:
Precise and Fast Computation of Elliptic Integrals and Functions. 50-57 - Christoph Quirin Lauter, Marc Mezzarobba:
Semi-Automatic Floating-Point Implementation of Special Functions. 58-65 - Nicolas Brunie, Florent de Dinechin, Olga Kupriianova, Christoph Quirin Lauter:
Code Generators for Mathematical Functions. 66-73
Session 6: Keynote Talk
- John Gustafson:
The end of numerical error. 74
Session 7: Medium and Multiple Precision 1
- Joris van der Hoeven, Grégoire Lecerf:
Faster FFTs in Medium Precision. 75-82 - Fredrik Johansson:
Efficient Implementation of Elementary Functions in the Medium-Precision Range. 83-89
Session 8: Medium and Multiple Precision 2
- William Bruce Hart:
Efficient Divide-and-Conquer Multiprecision Integer Division. 90-95 - Anastasia Volkova, Thibault Hilaire, Christoph Quirin Lauter:
Reliable Evaluation of the Worst-Case Peak Gain Matrix in Multiple Precision. 96-103
Session 9: Keynote Talk
- Jacques Laskar:
Numerical challenges in long term integrations of the solar system. 104
Session 10: Residue Number Systems
- Benoît Gérard, Jean-Gabriel Kammerer, Nabil Merkiche:
Contributions to the Design of Residue Number System Architectures. 105-112 - Jean-Claude Bajard, Julien Eynard, Nabil Merkiche, Thomas Plantard:
RNS Arithmetic Approach in Lattice-Based Cryptography: Accelerating the "Rounding-off" Core Procedure. 113-120
Session 11: Modular and Finite-Field Arithmetic
- Seyed Hamed Fatemi Langroudi, Ghassem Jaberipur:
Modulo-(2n - 2q - 1) Parallel Prefix Addition via Excess-Modulo Encoding of Residues. 121-128 - Hayssam El-Razouk, Arash Reyhani-Masoleh:
New Bit-Level Serial GF (2m) Multiplication Using Polynomial Basis. 129-136 - Mourad Gouicem:
Modular Multiplication and Division Algorithms Based on Continued Fraction Expansion. 137-143 - Christophe Nègre, Thomas Plantard, Jean-Marc Robert:
Efficient Modular Exponentiation Based on Multiple Multiplications by a Common Operand. 144-151
Session 12: Miscellaneous
- Hong Diep Nguyen, James Demmel:
Reproducible Tall-Skinny QR. 152-159 - Martin Brain, Cesare Tinelli, Philipp Rümmer, Thomas Wahl:
An Automatable Formal Semantics for IEEE-754 Floating-Point Arithmetic. 160-167 - Petr Kurka:
The Exact Real Arithmetical Algorithm in Binary Continued Fractions. 168-175
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