Conclusion

1
(No Transcript)
2
(No Transcript)
3
(No Transcript)
4
(No Transcript)
5
(No Transcript)
6
(No Transcript)
7
(No Transcript)
8
(No Transcript)
9

10
(No Transcript)
11
(No Transcript)
12
(No Transcript)
13
(No Transcript)
14
(No Transcript)
15
(No Transcript)
16
(No Transcript)
17
(No Transcript)
18
(No Transcript)
19
(No Transcript)
20
(No Transcript)
21
(No Transcript)
22
(No Transcript)
23
(No Transcript)
24
(No Transcript)
25
(No Transcript)
26
(No Transcript)
27
(No Transcript)
28
(No Transcript)
29
(No Transcript)
30
(No Transcript)
31
(No Transcript)
32
(No Transcript)
33
(No Transcript)
34
Conclusion

• For solving proper and improper problems of
  mathematical programming and inverse ill-posed
  problems with a priori information new iterative
  methods of Fejer type are proposed.
• These methods allow us to take into account
  a priori constraints in the form of convex
  inequalities and to construct flexible economical
  algorithms.
• Under realization of the algorithms it is
  possible to use parallel technology.
• The methods were successfully used for
  solving applied inverse problems processing
  EXAFS and diffraction data, noisy image
  reconstruction, wellbore/reservoir testing,
  thermal sounding
• atmosphere, radio-sounding ionosphere.

35
References

• ??????.?., ????? ?.?. ???????????? ?????? ?
  ????????? ???????????. ???????????? ??? ?????,
  1993.
• Vasin V.V. and Ageev A.L. Ill-Posed Problems with
  A Priori Information. Utrecht, The Netherlands
  VSP, 1995.
• ????? ?.?., ?????? ?.?. ????????? ? ???????????
  ???????? ???????????? ????. ?????? ? ??????????.
  ??????-?????? ?? ????????, 2005.
• Vasin V.V. and Eremin I.I. Operators and
  Iterative Processes of Fejer Type. Theory and
  Applications. Berlin-New York Walter de Gruyter,
  2009.

36

• Thank You!