Discrete inverse problems

Discrete inverse problems: insight and algorithms

by Hansen, Per Christian

Type Book
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Title Statements

  • Full title :Discrete inverse problems : insight and algorithms / Per Christian Hansen.

Edition Statements

  • Publication Date:2010.

Publication Statements

Notes

Introduction and Motivation -- Meet the Fredholm Integral Equation of the First Kind -- Getting to Business : Discretizations of Linear Inverse Problems -- Computational Aspects : Regularization Methods -- Getting Serious : Choosing the Regularization Parameter -- Toward Real-World Problems : Iterative Regularization -- Regularization Methods at Work : Solving Real Problems -- Beyond the 2-Norm : The Use of Discrete Smoothing Norms -- Appendix A : Linear Algebra Stuff -- Appendix B : Symmetric Toeplitz-Plus-Hankel Matrices and the DCT -- Appendix C : Early Work on "Tikhonov Regularization."

This book gives an introduction to the practical treatment of inverse problems by means of numerical methods, with a focus on basic mathematical and computational aspects. To solve inverse problems, we demonstrate that insight about them goes hand in hand with algorithms.

The Physical Object

  • Description:1 electronic Text (xii, 213 Seiten : : Illustrationen).

Edition Identifiers

  • ISBN:0898716969, 9780898716962
  • oclc:ocn873886255
  • LC Classification:QA371
  • Dewey Decimal:515/.357

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