Show simple item record Konnov I. Pinyagina O. 2020-01-15T21:18:05Z 2020-01-15T21:18:05Z 2019
dc.identifier.issn 0302-9743
dc.description.abstract © Springer Nature Switzerland AG 2019. We suggest the modified splitting method for mixed variational inequalities and prove its convergence under rather mild assumptions. This method maintains the basic convergence properties but does not require any iterative step-size search procedure. It involves a simple adaptive step-size choice, which takes into account the problem behavior along the iterative sequence. The key element of this approach is a given majorant step-size sequence converging to zero. The next decreased value of step-size is taken only when the current iterate does not give a sufficient descent of the objective function. This descent value is estimated with the help of an Armijo-type condition, similar to the rule used in the inexact step-size linesearch. If the current iterate gives a sufficient descent, we can even take an increasing step-size value at the next iterate. Preliminary results of computational experiments confirm the efficiency of the proposed modification in comparison with the ordinary splitting method using the inexact step-size linesearch procedure.
dc.relation.ispartofseries Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
dc.subject Adaptive step-size choice
dc.subject Forward-backward method
dc.subject Mixed variational inequality
dc.subject Nonsmooth optimization problem
dc.subject Splitting method
dc.title Splitting method with adaptive step-size
dc.type Conference Paper
dc.relation.ispartofseries-volume 11548 LNCS
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 46 SCOPUS03029743-2019-11548-SID85067660860

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  • Публикации сотрудников КФУ Scopus [22633]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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