Kaczmarz algorithm with relaxation in Hilbert space
Ryszard Szwarc ; Grzegorz Świderski
Studia Mathematica, Tome 215 (2013), p. 237-243 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:285440 
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     author = {Ryszard Szwarc and Grzegorz \'Swiderski},
     title = {Kaczmarz algorithm with relaxation in Hilbert space},
     journal = {Studia Mathematica},
     volume = {215},
     year = {2013},
     pages = {237-243},
     zbl = {1292.41013},
     language = {en},
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Ryszard Szwarc; Grzegorz Świderski. Kaczmarz algorithm with relaxation in Hilbert space. Studia Mathematica, Tome 215 (2013) pp. 237-243. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm216-3-3/