Volume 7, Issue 1
Accelerated GPMHSS Method for Solving Complex Systems of Linear Equations

Jing Wang, Xue-Ping Guo & Hong-Xiu Zhong

East Asian J. Appl. Math., 7 (2017), pp. 143-155.

Published online: 2018-02

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  • Abstract

Preconditioned modified Hermitian and skew-Hermitian splitting method (PMHSS) is an unconditionally convergent iteration method for solving large sparse complex symmetric systems of linear equations, and uses one parameter α. Adding another parameter β, the generalized PMHSS method (GPMHSS) is essentially a twoparameter iteration method. In order to accelerate the GPMHSS method, using an unexpected way, we propose an accelerated GPMHSS method (AGPMHSS) for large complex symmetric linear systems. Numerical experiments show the numerical behavior of our new method.

  • Keywords

Preconditioning, complex systems of linear equations, PMHSS method, GPMHSS method, AGPMHSS method.

  • AMS Subject Headings

65F10, 65W50

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-7-143, author = {}, title = {Accelerated GPMHSS Method for Solving Complex Systems of Linear Equations}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {7}, number = {1}, pages = {143--155}, abstract = {

Preconditioned modified Hermitian and skew-Hermitian splitting method (PMHSS) is an unconditionally convergent iteration method for solving large sparse complex symmetric systems of linear equations, and uses one parameter α. Adding another parameter β, the generalized PMHSS method (GPMHSS) is essentially a twoparameter iteration method. In order to accelerate the GPMHSS method, using an unexpected way, we propose an accelerated GPMHSS method (AGPMHSS) for large complex symmetric linear systems. Numerical experiments show the numerical behavior of our new method.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.260816.051216a}, url = {http://global-sci.org/intro/article_detail/eajam/10740.html} }
TY - JOUR T1 - Accelerated GPMHSS Method for Solving Complex Systems of Linear Equations JO - East Asian Journal on Applied Mathematics VL - 1 SP - 143 EP - 155 PY - 2018 DA - 2018/02 SN - 7 DO - http://doi.org/10.4208/eajam.260816.051216a UR - https://global-sci.org/intro/article_detail/eajam/10740.html KW - Preconditioning, complex systems of linear equations, PMHSS method, GPMHSS method, AGPMHSS method. AB -

Preconditioned modified Hermitian and skew-Hermitian splitting method (PMHSS) is an unconditionally convergent iteration method for solving large sparse complex symmetric systems of linear equations, and uses one parameter α. Adding another parameter β, the generalized PMHSS method (GPMHSS) is essentially a twoparameter iteration method. In order to accelerate the GPMHSS method, using an unexpected way, we propose an accelerated GPMHSS method (AGPMHSS) for large complex symmetric linear systems. Numerical experiments show the numerical behavior of our new method.

Jing Wang, Xue-Ping Guo & Hong-Xiu Zhong. (2020). Accelerated GPMHSS Method for Solving Complex Systems of Linear Equations. East Asian Journal on Applied Mathematics. 7 (1). 143-155. doi:10.4208/eajam.260816.051216a
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