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词条 Karlsruhe Accurate Arithmetic
释义

  1. See also

  2. References

  3. Further reading

{{anchor|XPA 3233|BAP-SC|ARITHMOS|Diamond}}Karlsruhe Accurate Arithmetic (KAA) or Karlsruhe Accurate Arithmetic Approach (KAAA), augments conventional floating-point arithmetic with good error behaviour with new operations to calculate scalar products with a single rounding error.[1]

The foundations for KAA were developed at the University of Karlsruhe starting in the late 1960s.[2][3][4]

See also

  • Ulrich Kulisch
  • {{Interlanguage link multi|Götz Alefeld|de}}
  • IBM 4361
  • PCS Cadmus
  • FORTRAN-SC
  • PASCAL-SC
  • PASCAL-XSC
  • C-XSC
  • Extensions for Scientific Computation (XSC)
  • Interval arithmetic
  • Unum
  • Catastrophic cancellation

References

1. ^{{cite book |title=Software Engineer's Reference Book |author-first=John A. |author-last=McDermid |edition=revised |publisher=Butterworth-Heinemann Ltd. / Elsevier |orig-year=1991 |date=1993 |page=187 |isbn=0-7506-0813-7 |id={{ISBN|1483105083}} / {{ISBN|9781483105086}} |chapter=8.5.2 |url=https://books.google.com/books?id=K_38BAAAQBAJ |access-date=2016-05-30}}
2. ^{{cite journal |title=Rechner liefern keine korrekten Ergebnisse - Neue Arithmetik der Karlsruher Forschungsgruppe Kulisch in der 4361 realisiert |trans-title=Computers don't deliver exact results - Karlsruhe research team Kulisch implements new computer arithmetic for the IBM 4361 |author=CW |date=1985-12-20 |journal=Computerwoche |publisher=IDG Business Media GmbH |language=German |location=Karlsruhe, Germany |url=http://www.computerwoche.de/a/rechner-liefern-keine-korrekten-ergebnisse,1172144 |access-date=2016-05-30 |dead-url=no |archive-url=https://web.archive.org/web/20160530220246/http://www.computerwoche.de/a/rechner-liefern-keine-korrekten-ergebnisse%2C1172144 |archive-date=2016-05-30}}
3. ^{{cite paper |title=Eine Langzahlarithmetik mit optimaler einseitiger Rundung |trans-title=A large-number arithmetic with optimal one-side rounding |language=German |author-first=Bruno |author-last=Lortz |type=Ph.D. thesis |publisher=Universität Karlsruhe |date=1971}}
4. ^{{cite paper |title=Grundlagen des Numerischen Rechnens. Mathematische Begründung der Rechnerarithmetik |language=German |author-first=Ulrich |author-last=Kulisch |author-link=:de:Ulrich Kulisch |date=1976 |publisher=Bibliographisches Institut |location=Mannheim, Germany |isbn=3-411-01517-9 |id={{ISBN|978-3-411-01517-7}}}}
5. ^{{cite book |chapter=Grundzüge der Intervallrechnung |language=German |author-first=Ulrich W. |author-last=Kulisch |author-link=:de:Ulrich Kulisch |date=1969 |title=Jahrbuch Überblicke Mathematik |editor-first=Detlef |editor-last=Laugwitz |volume=2 |publisher=Bibliographisches Institut |location=Mannheim, Germany |pages=51-98}}
6. ^{{cite journal |title=Accurate Floating-Point Summation |author-first=Peter |author-last=Linz |journal=Communications of the ACM |volume=13 |number=6 |date=June 1970 |pages=361–362 |url=https://www.researchgate.net/publication/220423009_Accurate_floating-point_summation |access-date=2016-05-30 |doi=10.1145/362384.362498}}

Further reading

  • {{cite book |author1-first=Ulrich W. |author1-last=Kulisch |author1-link=:de:Ulrich Kulisch |author2-first=Willard L. |author2-last=Miranker |author2-link=Willard L. Miranker |date=1981 |edition=1 |title=Computer arithmetic in theory and practice |editor-first=Werner |editor-last=Rheinboldt |series=Computer Science and Applied Mathematics |publisher=Academic Press, Inc. |location=New York, USA |isbn=0-12-428650-X}}
  • {{cite journal |title=Cadmus jetzt mit Kulisch-Arithmetik - Uni Karlsruhe gibt Pascal-Compiler nach München |trans-title=Cadmus now comes with Kulisch arithmetic - University Karlsruhe delivers Pascal compiler to Munich |author=PI |date=1986-08-29 |journal=Computerwoche |publisher=IDG Business Media GmbH |language=German |location=Munich / Karlsruhe, Germany |url=http://www.computerwoche.de/a/uni-karlsruhe-gibt-pascal-compiler-nach-muenchen-cadmus-jetzt-mit-kulisch-arithmetik,1165749 |access-date=2016-05-30 |dead-url=no |archive-url=https://web.archive.org/web/20160530220339/http://www.computerwoche.de/a/uni-karlsruhe-gibt-pascal-compiler-nach-muenchen-cadmus-jetzt-mit-kulisch-arithmetik%2C1165749 |archive-date=2016-05-30}}
  • {{cite book |title=Improving Floating-Point Programming |editor-first=Peter J. L. |editor-last=Wallis |author-first1=Lothar |author-last1=Bamberger |author-first2=James H. |author-last2=Davenport |author-first3=Hans-Christoph |author-last3=Fischer |author-first4=Jan |author-last4=Kok |author-first5=Günter |author-last5=Schumacher |author-first6=Christian |author-last6=Ullrich |author-first7=Peter J. L. |author-last7=Wallis |author-first8=Dik T. |author-last8=Winter |author-first9=Jürgen |author-last9=Wolff von Gudenberg |date=1990 |edition=1st |publisher=John Wiley & Sons Ltd. |location=Bath, United Kingdom |isbn=0-471-92437-7 |id={{ISBN|978-0-471-92437-1}}}}
  • {{cite journal |title=Professoren-Porträt: Prof. Dr. Ulrich Kulisch |orig-year=October 1997 |journal=Eulenspiegel |publisher=Karlsruher Institut für Technologie, Fachschaft Mathematik Informatik |volume=WS97/98 |number=1 |date=2013-07-19 |language=German |url=https://www.fsmi.uni-karlsruhe.de/Fachschaft/Publikationen/Eulenspiegel/WS97_98/1/portrait.html |access-date=2016-05-30 |dead-url=no |archive-url=https://web.archive.org/web/20160530220204/https://www.fsmi.uni-karlsruhe.de/Fachschaft/Publikationen/Eulenspiegel/WS97_98/1/portrait.html |archive-date=2016-05-30}}
  • {{cite book |title=Numerical Methods |author-first=E. |author-last=Balagurusamy |work=PSG Institute of Management |publisher=Tata McGraw-Hill Publishing Company Limited |location=New Delhi, India |page=52 |edition=25th reprint (2008) |date=1999 |isbn=0-07-463311-2 |id={{ISBN|978-0-07-463311-3}} |url=https://books.google.com/books?id=jBkGxMkI4DMC |access-date=2016-05-30}}
  • {{cite journal |title=Numerische Mathematik: Rechnen mit garantierter Genauigkeit |trans-title=Numerical mathematics: Calculating with guaranteed accuracy |author-first=Christoph |author-last=Pöppe |journal=Spektrum der Wissenschaft |language=German |number=9 |volume=2000 |date=2000-09-01 |pages=54– |publisher=Spektrum der Wissenschaft Verlagsgesellschaft mbH |url=http://www.spektrum.de/magazin/rechnen-mit-garantierter-genauigkeit/826769 |access-date=2016-05-30 |dead-url=no |archive-url=https://web.archive.org/web/20160530222045/http://www.spektrum.de/magazin/rechnen-mit-garantierter-genauigkeit/826769 |archive-date=2016-05-30}}

2 : Computer arithmetic|Numerical analysis

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