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Titlebook: Scientific Computing, Computer Arithmetic, and Validated Numerics; 16th International S Marco Nehmeier,Jürgen Wolff von Gudenberg,Warwick

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书目名称Scientific Computing, Computer Arithmetic, and Validated Numerics
副标题16th International S
编辑Marco Nehmeier,Jürgen Wolff von Gudenberg,Warwick
视频videohttp://file.papertrans.cn/863/862727/862727.mp4
丛书名称Lecture Notes in Computer Science
图书封面Titlebook: Scientific Computing, Computer Arithmetic, and Validated Numerics; 16th International S Marco Nehmeier,Jürgen Wolff von Gudenberg,Warwick
描述.This book constitutes the refereed post proceedings of the16th International Symposium, SCAN 2014, held in Würzburg, Germany, in September 2014...The 22 full papers presented were carefullyreviewed and selected from 60 submissions. The main concerns of research addressed by SCAN conferences are validation, verification or reliable assertions of numerical computations. Interval arithmetic and other treatments of uncertainty are developed as appropriate tools..
出版日期Conference proceedings 2016
关键词Interval arithmetic; Interval functions; Linear algebra; Interval linear systems; global optimization; dy
版次1
doihttps://doi.org/10.1007/978-3-319-31769-4
isbn_softcover978-3-319-31768-7
isbn_ebook978-3-319-31769-4Series ISSN 0302-9743 Series E-ISSN 1611-3349
issn_series 0302-9743
copyrightSpringer International Publishing Switzerland 2016
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978-3-319-31768-7Springer International Publishing Switzerland 2016
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How Much for an Interval? a Set? a Twin Set? a p-Box? A Kaucher Interval? Towards an Economics-MotivA natural idea of decision making under uncertainty is to assign a fair price to different alternatives, and then to use these fair prices to select the best alternative. In this paper, we show how to assign a fair price under different types of uncertainty.
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Efficiency of Reproducible Level 1 BLASe IEEE-754 correct rounding to larger computing sequences, . to the BLAS. Is the extra cost for numerical reproducibility acceptable in practice? We present solutions and experiments for the level 1 BLAS and we conclude about their efficiency.
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Reserve of Characteristic Inclusion as Recognizing Functional for Interval Linear Systems “reserve”, and investigate its properties and application. We show that the reserve proves useful in the study of AE-solutions and quantifier solutions to interval linear problems. In particular, using the reserve can help to recognize position of a point with respect to the solution set, emptiness of the solution set and of its interior, etc.
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Convergence and Inclusion Isotonicity of the Tensorial Rational Bernstein Form expansion of the numerator and denominator polynomials in Bernstein polynomials. Convergence of the bounds to the range with respect to degree elevation of the Bernstein expansion, to the width of the box and to subdivision are proven and the inclusion isotonicity of the related enclosure function is shown.
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