A+ CATEGORY SCIENTIFIC UNIT

Kaczmarz algorithm with relaxation in Hilbert space

Volume 216 / 2013

Ryszard Szwarc, Grzegorz Świderski Studia Mathematica 216 (2013), 237-243 MSC: Primary 41A65. DOI: 10.4064/sm216-3-3

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.

Authors

  • Ryszard SzwarcInstitute of Mathematics
    University of Wrocław
    50-384 Wrocław, Poland
    e-mail
  • Grzegorz ŚwiderskiInstitute of Mathematics
    University of Wrocław
    50-384 Wrocław, Poland
    e-mail

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