Publication Cover
Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 5
91
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

On regularization methods based on dynamic programming techniques

&
Pages 611-632 | Received 30 Sep 2006, Accepted 23 Apr 2007, Published online: 30 May 2007

References

  • Adams , RA . 1975 . Sobolev Spaces , New York : Academic Press .
  • Bellman , R . 1953 . An Introduction to the Theory of Dynamic Programming , California, Santa Monica : The Rand Corporation .
  • Bellman , R . 1957 . Dynamic Programming , Princeton, N.J : Princeton University Press .
  • Bellman , R , Dreyfus , SE and Stuart , E . 1962 . Applied Dynamic Programming , Princeton, NJ : Princeton University Press .
  • Bellman , R and Kalaba , R . 1965 . Dynamic Programming and Modern Control Theory , New York/London : Academic Press .
  • Dreyfus , SE . 1965 . Dynamic Programming and the Calculus of Variations , New York : London Academic Press .
  • Engl , HW , Hanke , M and Neubauer , A . 1996 . Regularization of Inverse Problems , Dordrecht : Kluwer Academic Publishers .
  • Engl , HW , Kunisch , K and Neubauer , A . 1989 . Convergence rates for Tikhonov regularization of nonlinear ill-posed problems . Inverse Problems , 5 : 523 – 540 .
  • Engl , HW and Scherzer , O . 2000 . Convergence Rates Results for Iterative Methods for Solving Nonlinear Ill-posed Problems , 7 – 34 . Vienna : Springer . Surveys on Solution Methods for Inverse Problems
  • Hanke , M , Neubauer , A and Scherzer , O . 1995 . A convergence analysis of the Landweber iteration for nonlinear ill-posed problems . Numerische Mathematik , 72 : 21 – 37 .
  • Kurzhanskii , AB and Sivergina , IF . 1998 . The dynamic programming method in inverse estimation problems for distributed systems . Doklady Mathematics , 53 : 161 – 166 .
  • Kurzhanskii , AB and Sivergina , IF . 1999 . Dynamic programming in problems of the identification of systems with distributed parameters . Journal of Applied Mathematics and Mechanics , 62 : 831 – 842 .
  • Magnus , W , Oberhettinger , F and Soni , RP . 1966 . Formulas and Theorems for the Special Functions of Mathematical Physics , Heidelberg, Berlin : Springer .
  • Morozov , VA . 1993 . Regularization Methods for Ill–Posed Problems , Boca Raton : CRC Press .
  • Tautenhahn , U . 1994 . On the asymptotical regularization of nonlinear ill-posed problems . Inverse Problems , 10 : 1405 – 1418 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.