Kaczmarz algorithm in Hilbert space

• Autorzy: Rainis Haller , Ryszard Szwarc
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 41A65: Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 169
• Numer: 2
• Strony: 123-132

Daty

wydano

2005

Twórcy

autor

Rainis Haller

• Institute of Pure Mathematics, Faculty of Mathematics and Computer Science, University of Tartu, Ülikooli 18, 50090 Tartu, Estonia

autor

Ryszard Szwarc

• Institute of Mathematics, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Identyfikatory

DOI

10.4064/sm169-2-2