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Avtomatika i Telemekhanika, 2010, Issue 2, Pages 4–16 (Mi at773)  
This article is cited in 10 scientific papers (total in 10 papers)

Estimation and Filtering

Levels of nonoptimality of the Weiszfeld Algorithm in the least-modules method

P. A. Akimova, A. I. Matasovab

a M. V. Lomonosov Moscow State University
b Institute of Space Research, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (278 kB) Citations (10)
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Abstract: The least-modules method allows one to process efficiently the data with anomalously great errors. The paper was devoted to the Weiszfeld algorithm enabling one to solve approximately the variational problem corresponding to the least-modules method. Estimates of nonoptimality of the algorithm's iterations enabling one to estimate the quality of the approximate solution with anomalously great errors were obtained on the basis of the duality theory of the convex variational problems.
Presented by the member of Editorial Board: A. I. Kibzun

Received: 02.03.2009
English version:
Automation and Remote Control, 2010, Volume 71, Issue 2, Pages 172–184
DOI: https://doi.org/10.1134/S0005117910020025
Bibliographic databases:
Document Type: Article
PACS: 02.60.Gf, 02.30.Sa, 02.60.Pn
Language: Russian
Citation: P. A. Akimov, A. I. Matasov, “Levels of nonoptimality of the Weiszfeld Algorithm in the least-modules method”, Avtomat. i Telemekh., 2010, no. 2, 4–16; Autom. Remote Control, 71:2 (2010), 172–184
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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