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Abstract: The Fifth Floating-Point Operation: Programming languages, accompanying compilers and even hardware which, apart from the four floating-point operations, provide an additional fifth floatingpoint operation, namely the accumulation of floating-point numbers and products in fixed-point arithmetic, have been developed at many institutions since the end of the seventies. Accumulation of numbers is the most sensitive operation in floating-point arithmetic. By that operation scalar products of... (Update)
Context of citations to this paper: More
...product with arbitrary precision as the fth arithmetic operation in hardware. It certainly will have an impact on optimization software [46]. 6 Modeling systems and optimization Creating, modifying, maintaining and analyzing large scale real life optimization problems is a...
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BibTeX entry: (Update)
U. Kulisch. The Fifth Floating-point Operation for Top-Performance Computers. Technical report, Institut fur Angewandte Mathematik, Universitat Karlsruhe, 1997. http://citeseer.ist.psu.edu/kulisch97fifth.html More
@misc{ kulisch97fifth,
author = "U. Kulisch",
title = "The Fifth Floating-point Operation for Top-Performance Computers",
text = "U. Kulisch. The Fifth Floating-point Operation for Top-Performance Computers.
Technical report, Institut fur Angewandte Mathematik, Universitat Karlsruhe,
1997.",
year = "1997",
url = "citeseer.ist.psu.edu/kulisch97fifth.html" }
Citations (may not include all citations):318 Methods of Conjugate Gradients for Solving Linear Systems (context) - Hestenes, Stiefel - 1952
225 An Introduction to Interval Computations (context) - Alefeld, Herzberger - 1983
134 Iterative Methods for Solving Linear Systems (context) - Greenbaum - 1997
46 Computer Arithmetic in Theory and Practice (context) - Kulisch, Miranker - 1981
42 ANSIIEEE Std (context) - IEEE, Binary et al. - 1985
22 Class Library for Extended Scientific Computing (context) - Klatte, Kulisch et al. - 1993
14 Toolbox for Verified Computing (context) - Hammer, Hocks et al. - 1995
13 A New Approach to Scientific Computation (context) - Kulisch, Miranker - 1983
11 Scientific Computing with Automatic Result Verification (context) - Kulisch, Stetter - 1988
11 Scientific Computing with Automatic Result Verification (context) - Adams, Kulisch - 1993
9 Fast Automatic Differentiation for Vector Processors and Red.. (context) - Shiriaev - 1993
6 PASCALXSC -Sprachbeschreibung mit Beispielen (context) - Klatte, Kulisch et al.
5 A CMOS Floating-Point Processing Chip for Verified Exact Vec.. (context) - Ch, Hofflinger et al. - 1994
4 Asynchronous Methods and Least Squares: An Example of Deteri.. - Steihaug, Yalcinkaya - 1997
3 Grundlagen des Numerischen Rechnens (context) - Kulisch - 1976
2 Case Studies for Augmented FloatingPoint Arithmetic (context) - Miranker, Mascagni et al. - 1986
2 Numerical Toolbox for Verified Computing II: Theory (context) - Kramer, Kulisch et al. - 1996
2 Sichere Verschneidung von Kurven und Flachen im CAGD (context) - Schramm - 1995
2 Brauchen wir eine Hochgenauigkeitsarithmetik (context) - Meis - 1987
2 Ein optimaler Gleitkommaprozessor (context) - Teufel - 1984
2 Ein Vektorarithmetik-Koprozessor in VLSI-Technik zur Unterst.. (context) - Ch - 1996
2 High Accuracy Arithmetic (context) - System - 1984
1 Arithmetically Improved Algorithmic Performance (context) - Mascagni, Miranker - 1985
1 IBM Research Center Report No (context) - Miranker, Rump - 1983
1 Numerical Toolbox for Verified Computing I: Theory (context) - Hammer, Hocks et al. - 1993
1 Silicon Valley Personal Computer Design Conference and Expos.. (context) - Hofflinger - 1995
1 Recent Advances and Open Problems in Iterative Methods for S.. (context) - Greenbaum - 1997
Documents on the same site (http://www.uni-karlsruhe.de/~iam/html/reports/reports.html):
C-XSC: A C++ Class Library for Extended Scientific Computing - Wiethoff (1996) (Correct)
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