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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 3, Pages 230–241 (Mi timm857)  
This article is cited in 6 scientific papers (total in 6 papers)

On the application of a regularization method for the correction of improper problems of convex programming

V. D. Skarinab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University
Full-text PDF (201 kB) Citations (6)
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Abstract: The residual method, which is one of the standard regularization procedures for ill-posed optimization problems, is applied to a convex programming problem. The connection between this method and the regularized Lagrange function method is investigated in the case of optimal correction of improper problems of convex programming. This approach allows one to decrease the number of impropriety classes to be analyzed. Conditions are formulated and convergence estimates of the method are established.
Keywords: convex programming, improper problem, optimal correction, residual method, regularized Lagrange function.
Received: 10.03.2012
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2013, Volume 283, Issue 1, Pages 126–138
DOI: https://doi.org/10.1134/S0081543813090137
Bibliographic databases:
Document Type: Article
UDC: 519.853
Language: Russian
Citation: V. D. Skarin, “On the application of a regularization method for the correction of improper problems of convex programming”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 3, 2012, 230–241; Proc. Steklov Inst. Math. (Suppl.), 283, suppl. 1 (2013), 126–138
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/timm857
  • https://www.mathnet.ru/eng/timm/v18/i3/p230
    • This publication is cited in the following 6 articles:
    1. V. D. Skarin, “The method of penalty functions and regularization in the analysis of improper convex programming problems”, Proc. Steklov Inst. Math. (Suppl.), 305, suppl. 1 (2019), S166–S177  mathnet  crossref  crossref  isi  elib
    2. V. D. Skarin, “On the construction of regularizing algorithms for the correction of improper convex programming problems”, Proc. Steklov Inst. Math. (Suppl.), 303, suppl. 1 (2018), S203–S212  mathnet  crossref  crossref  isi  elib
    3. V. D. Skarin, “On the choice of parameters in the residual method for optimal correction of improper problems of convex optimization”, Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 191–204  mathnet  crossref  crossref  mathscinet  isi  elib
    4. Vladimir D. Skarin, Lecture Notes in Computer Science, 9869, Discrete Optimization and Operations Research, 2016, 441  crossref
    5. V. D. Skarin, “On the application of the residual method for the correction of inconsistent problems of convex programming”, Proc. Steklov Inst. Math. (Suppl.), 289, suppl. 1 (2015), 182–191  mathnet  crossref  mathscinet  isi  elib
    6. V. D. Skarin, “Ob optimalnoi korrektsii protivorechivykh zadach vypuklogo programmirovaniya”, Tr. IMM UrO RAN, 19, no. 2, 2013, 267–274  mathnet  mathscinet  elib
    Citing articles in Google Scholar: Russian citations, English citations
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