| Title:
|
Some stochastic properties of the best determined terms method (English) |
| Author:
|
Neuberg, Jiří |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
21 |
| Issue:
|
5 |
| Year:
|
1976 |
| Pages:
|
317-326 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
Some stochastic properties of the best determined terms method are derived and some criteria based on the concept of the measure of information are given for an approximate determination of the normal solution to the Fredholm integral equation of the first kind. () |
| MSC:
|
45B05 |
| MSC:
|
65R05 |
| MSC:
|
65R20 |
| idZBL:
|
Zbl 0346.65069 |
| idMR:
|
MR0471399 |
| DOI:
|
10.21136/AM.1976.103655 |
| . |
| Date available:
|
2008-05-20T18:05:31Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103655 |
| . |
| Reference:
|
[1] G. E. Forsythe C. B. Moler: Computer solution of linear algebraic systems.Prentice Hall, Englewood Cliffs, New Jersey, 1967. MR 0219223 |
| Reference:
|
[2] R. J. Hanson: A numerical method for solving Fredholm integral equations of the first kind using singular values.SIAM J. Numer. Anal., Vol. 8 (1971), 616-622. MR 0293867, 10.1137/0708058 |
| Reference:
|
[3] J. Hekela: Inversion by the method of the best determined terms.(Czech), to appear in Bull. Astr. Inst. ČSAV. |
| Reference:
|
[4] J. Cifka: The best determined terms method.to appear. |
| Reference:
|
[5] J. Neuberg: Some limit properties of the best determined terms method.to appear. Zbl 0356.45001, MR 0403272 |
| Reference:
|
[6] T. L. Bouillon, P L. Odell: Generalized inverse matrices.London, John Wiley and Sons, 1971. MR 0338012 |
| Reference:
|
[7] В. Р. Турчин В. П. Козлов M. С. Малкевич: Использование методов математической статистики для решения некорректных задач.Успехи Физических Наук, Том. 102, 1970. Zbl 1230.76053 |
| Reference:
|
[8] J. Bass: Calcul des probabilités.Masson et Cie, 1967. Zbl 0183.19301, MR 0233387 |
| . |
