New global error bound for extended linear complementarity problems

For the extended linear complementarity problem (ELCP), by virtue of a new residual function, we establish a new type of global error bound under weaker conditions. Based on this, we respectively obtain new global error bounds for the vertical linear complementarity problem and the mixed linear comp...

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Detalles Bibliográficos
Autores principales: Sun, Hongchun, Sun, Min, Wang, Yiju
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154053/
https://www.ncbi.nlm.nih.gov/pubmed/30839658
http://dx.doi.org/10.1186/s13660-018-1847-z
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author Sun, Hongchun
Sun, Min
Wang, Yiju
author_facet Sun, Hongchun
Sun, Min
Wang, Yiju
author_sort Sun, Hongchun
collection PubMed
description For the extended linear complementarity problem (ELCP), by virtue of a new residual function, we establish a new type of global error bound under weaker conditions. Based on this, we respectively obtain new global error bounds for the vertical linear complementarity problem and the mixed linear complementarity problem. The obtained results presented in this paper supplement some recent corresponding results in the sense that they can provide some error bounds for a more general ELCP. Their feasibility is verified by some numerical experiments.
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spelling pubmed-61540532018-10-10 New global error bound for extended linear complementarity problems Sun, Hongchun Sun, Min Wang, Yiju J Inequal Appl Research For the extended linear complementarity problem (ELCP), by virtue of a new residual function, we establish a new type of global error bound under weaker conditions. Based on this, we respectively obtain new global error bounds for the vertical linear complementarity problem and the mixed linear complementarity problem. The obtained results presented in this paper supplement some recent corresponding results in the sense that they can provide some error bounds for a more general ELCP. Their feasibility is verified by some numerical experiments. Springer International Publishing 2018-09-24 2018 /pmc/articles/PMC6154053/ /pubmed/30839658 http://dx.doi.org/10.1186/s13660-018-1847-z Text en © The Author(s) 2018 Open Access This 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.
spellingShingle Research
Sun, Hongchun
Sun, Min
Wang, Yiju
New global error bound for extended linear complementarity problems
title New global error bound for extended linear complementarity problems
title_full New global error bound for extended linear complementarity problems
title_fullStr New global error bound for extended linear complementarity problems
title_full_unstemmed New global error bound for extended linear complementarity problems
title_short New global error bound for extended linear complementarity problems
title_sort new global error bound for extended linear complementarity problems
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154053/
https://www.ncbi.nlm.nih.gov/pubmed/30839658
http://dx.doi.org/10.1186/s13660-018-1847-z
work_keys_str_mv AT sunhongchun newglobalerrorboundforextendedlinearcomplementarityproblems
AT sunmin newglobalerrorboundforextendedlinearcomplementarityproblems
AT wangyiju newglobalerrorboundforextendedlinearcomplementarityproblems

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