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AIMS Mathematics
Article . 2021 . Peer-reviewed
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AIMS Mathematics
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AIMS Mathematics
Article . 2022
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zbMATH Open
Article . 2022
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https://dx.doi.org/10.3934/mat...
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Modified BAS iteration method for absolute value equation

Modified bas iteration method for absolute value equation
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2021Publisher:American Institute of Mathematical Sciences (AIMS)Journal:AIMS Mathematics, volume 7, pages 606-616 (issn: 2473-6988, Copyright policy )
Authors: Cui-Xia Li; Long-Quan Yong;

doi: 10.3934/math.2022038

Modified BAS iteration method for absolute value equation

Abstract

<abstract><p>In this paper, to improve the convergence speed of the block-diagonal and anti-block-diagonal splitting (BAS) iteration method, we design a modified BAS (MBAS) method to obtain the numerical solution of the absolute value equation. Theoretical analysis shows that under certain conditions the MBAS method is convergent. Numerical experiments show that the MBAS method is feasible.</p></abstract>

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Keywords

Iterative numerical methods for linear systems, convergence, block-diagonal and anti-block-diagonal splitting, Nonlinear programming, Linear programming, absolute value equation, QA1-939, iteration method, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming), Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Top 10%
Average
Average
gold