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  • © 1995

Numerical Methods for the Solution of Ill-Posed Problems

Part of the book series: Mathematics and Its Applications (MAIA, volume 328)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-ix
  2. Introduction

    • A. N. Tikhonov, A. V. Goncharsky, V. V. Stepanov, A. G. Yagola
    Pages 1-5
  3. Regularization methods

    • A. N. Tikhonov, A. V. Goncharsky, V. V. Stepanov, A. G. Yagola
    Pages 7-63
  4. Numerical methods for the approximate solution of ill-posed problems on compact sets

    • A. N. Tikhonov, A. V. Goncharsky, V. V. Stepanov, A. G. Yagola
    Pages 65-79
  5. Algorithms for the approximate solution of ill-posed problems on special sets

    • A. N. Tikhonov, A. V. Goncharsky, V. V. Stepanov, A. G. Yagola
    Pages 81-96
  6. Algorithms and programs for solving linear ill-posed problems

    • A. N. Tikhonov, A. V. Goncharsky, V. V. Stepanov, A. G. Yagola
    Pages 97-161
  7. Back Matter

    Pages 163-253

About this book

Many problems in science, technology and engineering are posed in the form of operator equations of the first kind, with the operator and RHS approximately known. But such problems often turn out to be ill-posed, having no solution, or a non-unique solution, and/or an unstable solution. Non-existence and non-uniqueness can usually be overcome by settling for `generalised' solutions, leading to the need to develop regularising algorithms.
The theory of ill-posed problems has advanced greatly since A. N. Tikhonov laid its foundations, the Russian original of this book (1990) rapidly becoming a classical monograph on the topic. The present edition has been completely updated to consider linear ill-posed problems with or without a priori constraints (non-negativity, monotonicity, convexity, etc.).
Besides the theoretical material, the book also contains a FORTRAN program library.
Audience: Postgraduate students of physics, mathematics, chemistry, economics, engineering. Engineers and scientists interested in data processing and the theory of ill-posed problems.

Authors and Affiliations

  • Moscow State University, Moscow, Russia

    A. N. Tikhonov, A. V. Goncharsky, V. V. Stepanov, A. G. Yagola

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access