Weaker Convergence of Global Relaxed Multisplitting USAOR Methods for an H-matrix

Weaker Convergence of Global Relaxed Multisplitting USAOR Methods for an H-matrix

In this paper, based on global relaxed parallel multisplitting USAOR (GUSAOR) method presented by Zhang et al. (Appl Math Comput 20:121–132, 2008 ) and similar ideas used by Zhang and Li (Comput Math Appl 67:1954–195, 2014 ), we further analyze global relaxed parallel multisplitting USAOR (GUSAOR) m...

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Veröffentlicht in:Mobile networks and applications 2021-04, Vol.26 (2), p.755-765
Hauptverfasser: Zhang, Li-Tao, Jiang, Ding-De, Zuo, Xian-Yu, Zhao, Ying-Chao
Format: Artikel
Sprache:eng
Schlagworte:
Communications Engineering
Computer Communication Networks
Convergence
Electrical Engineering
Engineering
IT in Business
Networks
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Zusammenfassung:In this paper, based on global relaxed parallel multisplitting USAOR (GUSAOR) method presented by Zhang et al. (Appl Math Comput 20:121–132, 2008 ) and similar ideas used by Zhang and Li (Comput Math Appl 67:1954–195, 2014 ), we further analyze global relaxed parallel multisplitting USAOR (GUSAOR) method and obtain the weaker convergence results compared to Zhang et al.’s when the system matrix is an H -matrix. Moreover, convergence graph and numerical examples clearly show that our new convergence domain is wider.
ISSN:1383-469X
1572-8153
DOI:10.1007/s11036-019-01417-1