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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 2, Pages 113–121 (Mi timm1063)  
This article is cited in 13 scientific papers (total in 13 papers)

Regularization and normal solutions of systems of linear equations and inequalities

A. I. Golikov, Yu. G. Evtushenko

Dorodnitsyn Computing Centre of the Russian Academy of Sciences
Full-text PDF (158 kB) Citations (13)
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Abstract: The paper provides some examples of mutually dual unconstrained optimization problems originating from regularization problems for systems of linear equations and/or inequalities. The solution of each of these mutually dual problems can be found from the solution of the other problem by means of simple formulas. Since mutually dual problems have different dimensions, it is natural to solve the unconstrained optimization problems with smaller dimension.
Keywords: regularization, piecewise quadratic function, unconstrained optimization, mutually dual problems, generalized Newton method.
Received: 14.01.2014
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2015, Volume 289, Issue 1, Pages 102–110
DOI: https://doi.org/10.1134/S0081543815050090
Bibliographic databases:
Document Type: Article
UDC: 519.854
Language: Russian
Citation: A. I. Golikov, Yu. G. Evtushenko, “Regularization and normal solutions of systems of linear equations and inequalities”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 2, 2014, 113–121; Proc. Steklov Inst. Math. (Suppl.), 289, suppl. 1 (2015), 102–110
Citation in format AMSBIB
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\pages 113--121
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\jour Proc. Steklov Inst. Math. (Suppl.)
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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