Kaczmarz algorithm with relaxation in Hilbert space

Ryszard Szwarc; Grzegorz Świderski

Studia Mathematica (2013)

  • Volume: 216, Issue: 3, page 237-243
  • ISSN: 0039-3223

Abstract

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We study the relaxed Kaczmarz algorithm in Hilbert space. The connection with the non-relaxed algorithm is examined. In particular we give sufficient conditions when relaxation leads to the convergence of the algorithm independently of the relaxation coefficients.

How to cite

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Ryszard Szwarc, and Grzegorz Świderski. "Kaczmarz algorithm with relaxation in Hilbert space." Studia Mathematica 216.3 (2013): 237-243. <http://eudml.org/doc/285440>.

@article{RyszardSzwarc2013,
abstract = {We study the relaxed Kaczmarz algorithm in Hilbert space. The connection with the non-relaxed algorithm is examined. In particular we give sufficient conditions when relaxation leads to the convergence of the algorithm independently of the relaxation coefficients.},
author = {Ryszard Szwarc, Grzegorz Świderski},
journal = {Studia Mathematica},
keywords = {Kaczmarz algorithm; Gram matrix; tight frame},
language = {eng},
number = {3},
pages = {237-243},
title = {Kaczmarz algorithm with relaxation in Hilbert space},
url = {http://eudml.org/doc/285440},
volume = {216},
year = {2013},
}

TY - JOUR
AU - Ryszard Szwarc
AU - Grzegorz Świderski
TI - Kaczmarz algorithm with relaxation in Hilbert space
JO - Studia Mathematica
PY - 2013
VL - 216
IS - 3
SP - 237
EP - 243
AB - We study the relaxed Kaczmarz algorithm in Hilbert space. The connection with the non-relaxed algorithm is examined. In particular we give sufficient conditions when relaxation leads to the convergence of the algorithm independently of the relaxation coefficients.
LA - eng
KW - Kaczmarz algorithm; Gram matrix; tight frame
UR - http://eudml.org/doc/285440
ER -

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