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Automatic Differentiation

Techniques and Applications

  • Book
  • © 1981

Overview

Editors:
  1. Louis B. Rall
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Part of the book series: Lecture Notes in Computer Science (LNCS, volume 120)

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Table of contents (10 chapters)

  1. Front Matter

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  2. Introduction

    Pages 1-2

  3. Formula translation

    Pages 3-8

  4. Formula differentiation

    Pages 9-34

  5. Generation of Taylor coefficients

    Pages 35-53

  6. Examples of software for automatic differentiation and generation of Taylor coefficients

    Pages 54-90

  7. Automatic computation of gradients, Jacobians, Hessians, and applications to optimization

    Pages 91-111

  8. Automatic error analysis

    Pages 112-121

  9. Solution of nonlinear systems of equations

    Pages 122-135

  10. Numerical integration with regorous error estimation

    Pages 136-151

  11. Additional notes of techniques, applications, and software

    Pages 152-154

  12. Back Matter

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Bibliographic Information

  • Book Title: Automatic Differentiation

  • Book Subtitle: Techniques and Applications

  • Editors: Louis B. Rall

  • Series Title: Lecture Notes in Computer Science

  • DOI: https://doi.org/10.1007/3-540-10861-0

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1981

  • Softcover ISBN: 978-3-540-10861-0Published: 01 August 1981

  • eBook ISBN: 978-3-540-38776-3Published: 01 July 2005

  • Series ISSN: 0302-9743

  • Series E-ISSN: 1611-3349

  • Edition Number: 1

  • Number of Pages: VIII, 166

  • Topics: Numerical Analysis

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