Convergence of a Class of Stationary Iterative Methods for Saddle Point Problems

dc.citation.firstpage195
dc.citation.journalTitleJournal of the Operations Research Society of China
dc.citation.lastpage204
dc.citation.volumeNumber7
dc.contributor.authorZhang, Yin
dc.date.accessioned2020-02-14T16:39:43Z
dc.date.available2020-02-14T16:39:43Z
dc.date.issued2019
dc.description.abstractA unified convergence theory is derived for a class of stationary iterative methods for solving linear equality constrained quadratic programs or saddle point problems. This class is constructed from essentially all possible splittings of the submatrix residing in the (1,1)-block of the augmented saddle point matrix that would produce non-expansive iterations. The classic augmented Lagrangian method and alternating direction method of multipliers are two special members of this class.
dc.identifier.citationZhang, Yin. "Convergence of a Class of Stationary Iterative Methods for Saddle Point Problems." <i>Journal of the Operations Research Society of China,</i> 7, (2019) Springer: 195-204. https://doi.org/10.1007/s40305-019-00249-w.
dc.identifier.digitalZhang2019
dc.identifier.doihttps://doi.org/10.1007/s40305-019-00249-w
dc.identifier.urihttps://hdl.handle.net/1911/108043
dc.language.isoeng
dc.publisherSpringer
dc.rightsThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons License, and indicate if changes were made.
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/),
dc.titleConvergence of a Class of Stationary Iterative Methods for Saddle Point Problems
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpublisher version
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