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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Beteilige Person: Mayer, Günter 1951- (VerfasserIn)
Format: Elektronisch E-Book
Sprache:Englisch
Veröffentlicht: Berlin ; Boston De Gruyter [2017]
Schriftenreihe:De Gruyter studies in mathematics 65
Schlagwörter:
Links:https://doi.org/10.1515/9783110499469
https://doi.org/10.1515/9783110499469
https://doi.org/10.1515/9783110499469
https://doi.org/10.1515/9783110499469
https://doi.org/10.1515/9783110499469
https://doi.org/10.1515/9783110499469
https://doi.org/10.1515/9783110499469
https://doi.org/10.1515/9783110499469
https://doi.org/10.1515/9783110499469
https://doi.org/10.1515/9783110499469
https://doi.org/10.1515/9783110499469
Zusammenfassung: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, ε-inflation Linear systems of equations Nonlinear systems of equations Eigenvalue problems Automatic differentiation Complex intervals
Umfang:1 Online-Ressource (xiii, 516 Seiten)
ISBN:9783110499469
DOI:10.1515/9783110499469