Description

Book Synopsis

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

Interval Analysis: and Automatic Result Verification

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    Order before 4pm today for delivery by Sat 1 Aug 2026.

    A Hardback by Gunter Mayer

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      Publisher: De Gruyter
      Publication Date: Publication Date: 10/04/2017
      ISBN13: 9783110500639, 978-3110500639
      ISBN10:

      Description

      Book Synopsis

      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

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