Iterative Methods for Ill-Posed Problems : : An Introduction /

Iterative Methods for Ill-Posed Problems : : An Introduction / / Anatoly B. Bakushinsky, Alexandra Smirnova, Mihail Yu. Kokurin.

Ill-posed problems are encountered in countless areas of real world science and technology. A variety of processes in science and engineering is commonly modeled by algebraic, differential, integral and other equations. In a more difficult case, it can be systems of equations combined with the assoc...

Full description

Saved in:
Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
VerfasserIn:
Bakushinsky, Anatoly B.,
Kokurin, Mihail Yu.,
Smirnova, Alexandra,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2010]
©2011
Year of Publication:2010
Language:English
Series:Inverse and Ill-Posed Problems Series , 54
Online Access:
Physical Description:1 online resource (136 p.)
Tags: Add Tag
No Tags, Be the first to tag this record!
Table of Contents:
  • Frontmatter
  • Preface
  • Contents
  • 1 The regularity condition. Newton’s method
  • 2 The Gauss–Newton method
  • 3 The gradient method
  • 4 Tikhonov’s scheme
  • 5 Tikhonov’s scheme for linear equations
  • 6 The gradient scheme for linear equations
  • 7 Convergence rates for the approximation methods in the case of linear irregular equations
  • 8 Equations with a convex discrepancy functional by Tikhonov’s method
  • 9 Iterative regularization principle
  • 10 The iteratively regularized Gauss–Newton method
  • 11 The stable gradient method for irregular nonlinear equations
  • 12 Relative computational efficiency of iteratively regularized methods
  • 13 Numerical investigation of two-dimensional inverse gravimetry problem
  • 14 Iteratively regularized methods for inverse problem in optical tomography
  • 15 Feigenbaum’s universality equation
  • 16 Conclusion
  • References
  • Index

Similar Items