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Volume 2, Issue 2
A New Preconditioned Generalised AOR Method for the Linear Complementarity Problem Based on a Generalised Hadjidimos Preconditioner

Cuiyu Liu & Chenliang Li

DOI: 10.4208/eajam.050911.060412a

East Asian J. Appl. Math., 2 (2012), pp. 94-107.

Published online: 2018-02

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  • Abstract

A new generalised Hadjidimos preconditioner and preconditioned generalised AOR method for the solution of the linear complementarity problem are presented. The convergence and convergence rate of the new method are analysed, and numerical experiments demonstrate that it is efficient.

  • Keywords

Linear complementarity problem, generalised Hadjidimos preconditioner, PGAOR, M-matrix.

  • AMS Subject Headings

65H10, 65Y05, 65F10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-2-94, author = {Cuiyu Liu and Chenliang Li}, title = {A New Preconditioned Generalised AOR Method for the Linear Complementarity Problem Based on a Generalised Hadjidimos Preconditioner}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {2}, number = {2}, pages = {94--107}, abstract = {

A new generalised Hadjidimos preconditioner and preconditioned generalised AOR method for the solution of the linear complementarity problem are presented. The convergence and convergence rate of the new method are analysed, and numerical experiments demonstrate that it is efficient.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.050911.060412a}, url = {http://global-sci.org/intro/article_detail/eajam/10869.html} }
TY - JOUR T1 - A New Preconditioned Generalised AOR Method for the Linear Complementarity Problem Based on a Generalised Hadjidimos Preconditioner AU - Cuiyu Liu & Chenliang Li JO - East Asian Journal on Applied Mathematics VL - 2 SP - 94 EP - 107 PY - 2018 DA - 2018/02 SN - 2 DO - http://doi.org/10.4208/eajam.050911.060412a UR - https://global-sci.org/intro/article_detail/eajam/10869.html KW - Linear complementarity problem, generalised Hadjidimos preconditioner, PGAOR, M-matrix. AB -

A new generalised Hadjidimos preconditioner and preconditioned generalised AOR method for the solution of the linear complementarity problem are presented. The convergence and convergence rate of the new method are analysed, and numerical experiments demonstrate that it is efficient.

Cuiyu Liu and Chenliang Li. (2018). A New Preconditioned Generalised AOR Method for the Linear Complementarity Problem Based on a Generalised Hadjidimos Preconditioner. East Asian Journal on Applied Mathematics. 2 (2). 94-107. doi:10.4208/eajam.050911.060412a
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