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Avtomatika i Telemekhanika, 2004, Issue 10, Pages 128–133 (Mi at1650)  
This article is cited in 1 scientific paper (total in 1 paper)

Adaptive and Robust Systems

Guaranteed convergence rate estimates for a class of iterative procedures: their comparison

A. M. Krasnosel'skiia, A. V. Pokrovskiib, D. I. Rachinskiia

a Institute for Information Transmission Problems, Russian Academy of Sciences
b University College Cork
Full-text PDF (193 kB) Citations (1)
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Abstract: The main difficulty in parallelization and synchronization of computations for speeding up the convergence of iterative procedures is the optimal guaranteed convergence rate estimation. A theorem is formulated concerning the guaranteed convergence rate estimates for certain procedures, in which resources are primarily allotted to the computation of nonlinearity components. Its proof is based on the use of new estimates for the spectral radii of the products of matrix sequences of asynchronous component computations.
Presented by the member of Editorial Board: B. T. Polyak

Received: 16.10.2003
English version:
Automation and Remote Control, 2004, Volume 65, Issue 10, Pages 1635–1640
DOI: https://doi.org/10.1023/B:AURC.0000044272.66681.f8
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. M. Krasnosel'skii, A. V. Pokrovskii, D. I. Rachinskii, “Guaranteed convergence rate estimates for a class of iterative procedures: their comparison”, Avtomat. i Telemekh., 2004, no. 10, 128–133; Autom. Remote Control, 65:10 (2004), 1635–1640
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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