- Tytuł:
- Solution of the Stieltjes truncated matrix moment problem
- Autorzy:
-
Adamyan, V.M.
Tkachenko, I.M. - Powiązania:
- https://bibliotekanauki.pl/articles/255081.pdf
- Data publikacji:
- 2005
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
Stieltjes power moments
canonical solutions
Nevanlinna's formula
matrix - Opis:
- The truncated Stieltjes matrix moment problem consisting in the description of all matrix distributions sigma(t) on [0, infin) with given first 2n + 1 power moments (Cj)nj=0 is solved using known results on the corresponding Hamburger problem for which sigma(t) are defined on (-infin, infin). The criterion of solvability of the Stieltjes problem is given and all its solutions in the non-degenerate case are described by selection of the appropriate solutions among those of the Hamburger problem for the same set of moments. The results on extensions of non-negative operators are used and a purely algebraic algorithm for the solution of both Hamburger and Stieltjes problems is proposed.
- Źródło:
-
Opuscula Mathematica; 2005, 25, 1; 5-24
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł