Interval and Twin Arithmetics |
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| Authors: | Vyacheslav M Nesterov |
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| Affiliation: | (1) St. Petersburg Institute for Informatics and Automation, Russian Academy of Sciences, 14-th line, 39, V.O., 199178 St. Petersburg, Russia |
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| Abstract: | The problem of finding inner and outer estimations of the range of values of a real function is considered. An overview of interval arithmetics being used for improvement of outer estimations is given. The twin arithmetic is introduced for simultaneous inner and outer estimations and directed twin arithmetic is proposed as generalization of the directed interval arithmetic. |
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