caa a22 4500 510811507 CHVBK 20210128105106.0 cr unu---uuuuu 180411e20131201xx s 000 0 eng 10.1134/S0081543813090137 doi (NATIONALLICENCE)springer-10.1134/S0081543813090137 Skarin V. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, 620990, Yekaterinburg, Russia aut On the application of the regularization method for the correction of improper problems of convex programming [Elektronische Daten] [V. Skarin] 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. Pleiades Publishing, Ltd., 2013 convex programming nationallicence improper problem nationallicence optimal correction nationallicence residual method nationallicence regularized Lagrange function nationallicence Proceedings of the Steklov Institute of Mathematics Springer US; http://www.springer-ny.com 283(2013-12-01), 126-138 0081-5438 283<126 2013 283 11501 https://doi.org/10.1134/S0081543813090137 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1134/S0081543813090137 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Skarin V. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, 620990, Yekaterinburg, Russia aut NATIONALLICENCE 773 0- Proceedings of the Steklov Institute of Mathematics Springer US; http://www.springer-ny.com 283(2013-12-01), 126-138 0081-5438 283<126 2013 283 11501 SWISSBIB 510811507