Volume 9, Issue 4
A Generalised CRI Iteration Method for Complex Symmetric Linear Systems

Yunying Huang & Guoliang Chen

East Asian J. Appl. Math., 9 (2019), pp. 651-664.

Published online: 2019-10

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  • Abstract

A generalisation of the combination method of real and imaginary parts for complex symmetric linear systems based on the introduction of an additional parameter is proposed. Sufficient conditions for the convergence of the method are derived. Numerical examples show the efficiency of this algorithm.

  • Keywords

Complex linear system, iterative method, convergence, optimal parameters.

  • AMS Subject Headings

15A24, 65F10

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

glchen@math.ecnu.edu.cn (Yunying Huang)

yunyinghuang15@163.com (Guoliang Chen)

  • BibTex
  • RIS
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@Article{EAJAM-9-651, author = {Huang , Yunying and Chen , Guoliang }, title = {A Generalised CRI Iteration Method for Complex Symmetric Linear Systems}, journal = {East Asian Journal on Applied Mathematics}, year = {2019}, volume = {9}, number = {4}, pages = {651--664}, abstract = {

A generalisation of the combination method of real and imaginary parts for complex symmetric linear systems based on the introduction of an additional parameter is proposed. Sufficient conditions for the convergence of the method are derived. Numerical examples show the efficiency of this algorithm.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.120518.231218 }, url = {http://global-sci.org/intro/article_detail/eajam/13325.html} }
TY - JOUR T1 - A Generalised CRI Iteration Method for Complex Symmetric Linear Systems AU - Huang , Yunying AU - Chen , Guoliang JO - East Asian Journal on Applied Mathematics VL - 4 SP - 651 EP - 664 PY - 2019 DA - 2019/10 SN - 9 DO - http://dor.org/10.4208/eajam.120518.231218 UR - https://global-sci.org/intro/eajam/13325.html KW - Complex linear system, iterative method, convergence, optimal parameters. AB -

A generalisation of the combination method of real and imaginary parts for complex symmetric linear systems based on the introduction of an additional parameter is proposed. Sufficient conditions for the convergence of the method are derived. Numerical examples show the efficiency of this algorithm.

Yunying Huang & Guoliang Chen. (2019). A Generalised CRI Iteration Method for Complex Symmetric Linear Systems. East Asian Journal on Applied Mathematics. 9 (4). 651-664. doi:10.4208/eajam.120518.231218
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