Geodesic
Kaczmarz algorithm in Hilbert space
Rainis Haller1 ; Ryszard Szwarc2
1Institute of Pure Mathematics Faculty of Mathematics and Computer Science University of Tartu Ülikooli 18 50090 Tartu, Estonia
2Institute of Mathematics University of Wrocław Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland
Studia Mathematica, Tome 169 (2005) no. 2, pp. 123-132
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

The aim of the Kaczmarz algorithm is to reconstruct an element in a Hilbert space from data given by inner products of this element with a given sequence of vectors. The main result characterizes sequences of vectors leading to reconstruction of any element in the space. This generalizes some results of Kwapień and Mycielski.
DOI : 10.4064/sm169-2-2
Mots-clés : the kaczmarz algorithm reconstruct element hilbert space given inner products element given sequence vectors main result characterizes sequences vectors leading reconstruction element space generalizes results kwapie mycielski

Rainis Haller  1   ; Ryszard Szwarc  2

1 Institute of Pure Mathematics Faculty of Mathematics and Computer Science University of Tartu Ülikooli 18 50090 Tartu, Estonia
2 Institute of Mathematics University of Wrocław Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland 
@article{10_4064_sm169_2_2,
     author = {Rainis Haller and Ryszard Szwarc},
     title = {Kaczmarz algorithm in {Hilbert} space},
     journal = {Studia Mathematica},
     pages = {123--132},
     year = {2005},
     volume = {169},
     number = {2},
     doi = {10.4064/sm169-2-2},
     language = {de},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm169-2-2/}
}
TY  - JOUR
AU  - Rainis Haller
AU  - Ryszard Szwarc
TI  - Kaczmarz algorithm in Hilbert space
JO  - Studia Mathematica
PY  - 2005
SP  - 123
EP  - 132
VL  - 169
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm169-2-2/
DO  - 10.4064/sm169-2-2
LA  - de
ID  - 10_4064_sm169_2_2
ER  - 
%0 Journal Article
%A Rainis Haller
%A Ryszard Szwarc
%T Kaczmarz algorithm in Hilbert space
%J Studia Mathematica
%D 2005
%P 123-132
%V 169
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/sm169-2-2/
%R 10.4064/sm169-2-2
%G de
%F 10_4064_sm169_2_2
Rainis Haller; Ryszard Szwarc. Kaczmarz algorithm in Hilbert space. Studia Mathematica, Tome 169 (2005) no. 2, pp. 123-132. doi: 10.4064/sm169-2-2

Cité par Sources :