Mayer Interval Analysis

and Automatic Result Verification
1. Auflage 2017
ISBN: 978-3-11-049805-9
Verlag: De Gruyter
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 65, 532 Seiten

Reihe: De Gruyter Studies in MathematicsISSN

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, e-inflation

- Linear systems of equations

- Nonlinear systems of equations

- Eigenvalue problems

- Automatic differentiation

- Complex intervals

Zielgruppe

Graduate students and researchers in mathematics, physics and com

Autoren/Hrsg.

Mayer, Günter

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Über Autor(innen)

Günter Mayer, University of Rostock, Rostock, Germany.