Geodesic
Kaczmarz algorithm in Hilbert space
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
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

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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 
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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

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