THREE OPTIMIZATION MODELS FOR MULTISPLITTING PRECONDITIONER
Liang Wei () and
Chuan-Long Wang ()
Additional contact information
Liang Wei: Institution of Mathematics, Taiyuan University of Technology, Taiyuan 030024, Shanxi Province, P. R. China
Chuan-Long Wang: Department of Mathematics, Taiyuan Normal University, Taiyuan 030012, Shanxi Province, P. R. China
Asia-Pacific Journal of Operational Research (APJOR), 2013, vol. 30, issue 03, 1-14
Abstract:
In this paper, we use matrix multisplitting with weighting parameters as the preconditioner of A. The optimal weighting parameters are determined by the approaching theory, and the scale of approaching is defined by F-norm, 2-norm, and ∞-norm, respectively. Base on these three minimize models, three algorithms are presented and the convergence theories are established. Finally, numerical examples show that the preconditioner with the optimal weighting parameters, which are obtained from minimize F-norm and 2-norm models, can improve the condition number of A effectively. Besides, general weighting parameters are more effective than non-negative weighting parameters.
Keywords: Optimal weighting parameters; multisplitting; preconditioner; minimize models; convergence (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations:
Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0217595913400071
Access to full text is restricted to subscribers
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:wsi:apjorx:v:30:y:2013:i:03:n:s0217595913400071
Ordering information: This journal article can be ordered from
DOI: 10.1142/S0217595913400071
Access Statistics for this article
Asia-Pacific Journal of Operational Research (APJOR) is currently edited by Gongyun Zhao
More articles in Asia-Pacific Journal of Operational Research (APJOR) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().