Interval Analysis: and Automatic Result Verification (De Gruyter Studies in Mathematics, 65) - Hardcover

Buch 49 von 60: De Gruyter Studies in Mathematics

Mayer, Günter

 
9783110500639: Interval Analysis: and Automatic Result Verification (De Gruyter Studies in Mathematics, 65)

Inhaltsangabe

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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Über die Autorin bzw. den Autor

Günter Mayer, University of Rostock, Rostock, Germany.

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