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Stable Solution of Inverse Problems

  • Book
  • © 1987

Overview

Authors:
  1. Johann Baumeister
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Part of the book series: Advanced Lectures in Mathematics (ALM)

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Table of contents (12 chapters)

  1. Front Matter

    Pages I-VIII
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  2. Basic Concepts

    1. Introduction

      • Johann Baumeister
      Pages 1-15

    2. Ill-posed problems

      • Johann Baumeister
      Pages 16-26

    3. Regularization

      • Johann Baumeister
      Pages 27-48

  3. Regularization Methods

    1. The singular value decomposition

      • Johann Baumeister
      Pages 49-72

    2. Applications of the singular value decomposition

      • Johann Baumeister
      Pages 73-90

    3. The method of Tikhonov

      • Johann Baumeister
      Pages 91-111

    4. Regularization by discretization

      • Johann Baumeister
      Pages 112-126

  4. Least Squares Solutions of Systems of Linear Equations

    1. Least squares problems

      • Johann Baumeister
      Pages 127-151

    2. Numerical aspects of least squares problems

      • Johann Baumeister
      Pages 152-178

  5. Specific Topics

    1. Convolution equations

      • Johann Baumeister
      Pages 179-202

    2. The final value problem

      • Johann Baumeister
      Pages 203-220

    3. Parameteridentification

      • Johann Baumeister
      Pages 221-244

  6. Back Matter

    Pages 245-254
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Keywords

Bibliographic Information

  • Book Title: Stable Solution of Inverse Problems

  • Authors: Johann Baumeister

  • Series Title: Advanced Lectures in Mathematics

  • DOI: https://doi.org/10.1007/978-3-322-83967-1

  • Publisher: Vieweg+Teubner Verlag Wiesbaden

  • eBook Packages: Springer Book Archive

  • Copyright Information: Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig 1987

  • Softcover ISBN: 978-3-528-08961-0Published: 01 January 1987

  • eBook ISBN: 978-3-322-83967-1Published: 09 March 2013

  • Series ISSN: 0932-7134

  • Series E-ISSN: 2512-7039

  • Edition Number: 1

  • Number of Pages: VIII, 256

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Complexity, Engineering, general

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