Kaczmarz algorithm in Hilbert space

Rainis Haller; Ryszard Szwarc

Studia Mathematica (2005)

  • Volume: 169, Issue: 2, page 123-132
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Rainis Haller, and Ryszard Szwarc. "Kaczmarz algorithm in Hilbert space." Studia Mathematica 169.2 (2005): 123-132. <http://eudml.org/doc/284674>.

@article{RainisHaller2005,
abstract = {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.},
author = {Rainis Haller, Ryszard Szwarc},
journal = {Studia Mathematica},
keywords = {Kaczmarz algorithm; Hilbert space},
language = {eng},
number = {2},
pages = {123-132},
title = {Kaczmarz algorithm in Hilbert space},
url = {http://eudml.org/doc/284674},
volume = {169},
year = {2005},
}

TY - JOUR
AU - Rainis Haller
AU - Ryszard Szwarc
TI - Kaczmarz algorithm in Hilbert space
JO - Studia Mathematica
PY - 2005
VL - 169
IS - 2
SP - 123
EP - 132
AB - 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.
LA - eng
KW - Kaczmarz algorithm; Hilbert space
UR - http://eudml.org/doc/284674
ER -

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