Interval analysis : and automatic result verification

This self-contained text is a step-by-step introduction and a complete overview of interval computation and result verification, a subject whose importance has steadily increased over the past many years. The author, an expert in the field, gently presents the theory of interval analysis through man...

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Bibliographic Details
Main Author Mayer, Günter
Format eBook Book
LanguageEnglish
Published Berlin De Gruyter 2017
Walter de Gruyter GmbH
Edition1
SeriesDe Gruyter Studies in Mathematics
Subjects
Automatische Differentiation
Computerarithmetik
Interval analysis (Mathematics)
Intervalalgebra
Intervalanalyse
MATHEMATICS
MATHEMATICS / Numerical Analysis
Richrigkeit von Ergebnissen
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Summary:This self-contained text is a step-by-step introduction and a complete overview of interval computation and result verification, a subject whose importance has steadily increased over the past many years. The author, an expert in the field, gently presents the theory of interval analysis through many examples and exercises, and guides the reader from the basics of the theory to current research topics in the mathematics of computation. Contents * * Preliminaries * Real intervals * Interval vectors, interval matrices * Expressions, P -contraction, ? -inflation * Linear systems of equations * Nonlinear systems of equations * Eigenvalue problems * Automatic differentiation * Complex intervals *
Bibliography:Includes bibliographical references (p. [483]-498) and indexes
ISBN:9783110500639
3110500639
3110498057
9783110498059
DOI:10.1515/9783110499469