Iterative Solution Methods

  • Martin Burger
  • Barbara Kaltenbacher
  • Andreas Neubauer


This chapter deals with iterative methods for nonlinear ill-posed problems. We present gradient and Newton type methods as well as nonstandard iterative algorithms such as Kaczmarz, expectation maximization, and Bregman iterations.Our intention here is to cite convergence results in the sense of regularization and to provide further references to the literature.


Discrepancy Principle Newton Method Source Condition Leibler Divergence Newton Type Method 

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • Martin Burger
    • 1
  • Barbara Kaltenbacher
    • 2
  • Andreas Neubauer
    • 3
  1. 1.University of MainzMainzGermany
  2. 2.University of GrazGrazAustria
  3. 3.Karlsruhe Institute of Technology (KIT)KarlsruheGermany

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