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Volume 8, Issue 2
Two Parameter Iteration Methods for Coupled Sylvester Matrix Equations

Changqing Lv & Changfeng Ma

East Asian J. Appl. Math., 8 (2018), pp. 336-351.

Published online: 2018-05

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  • Abstract

We consider two parameter iteration methods for the coupled Sylvester matrix equations $$AX+YB=E$$ $$CX+YD=F.$$ Having established the convergence of the algorithms, we discuss the choice of optimal parameters. Numerical examples show the efficiency of the methods.

  • AMS Subject Headings

65F10, 15A24

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COPYRIGHT: © Global Science Press

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@Article{EAJAM-8-336, author = {Changqing Lv and Changfeng Ma}, title = {Two Parameter Iteration Methods for Coupled Sylvester Matrix Equations}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {8}, number = {2}, pages = {336--351}, abstract = {

We consider two parameter iteration methods for the coupled Sylvester matrix equations $$AX+YB=E$$ $$CX+YD=F.$$ Having established the convergence of the algorithms, we discuss the choice of optimal parameters. Numerical examples show the efficiency of the methods.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.181117.250118b}, url = {http://global-sci.org/intro/article_detail/eajam/12209.html} }
TY - JOUR T1 - Two Parameter Iteration Methods for Coupled Sylvester Matrix Equations AU - Changqing Lv & Changfeng Ma JO - East Asian Journal on Applied Mathematics VL - 2 SP - 336 EP - 351 PY - 2018 DA - 2018/05 SN - 8 DO - http://doi.org/10.4208/eajam.181117.250118b UR - https://global-sci.org/intro/article_detail/eajam/12209.html KW - Coupled Sylvester matrix equation, parameter iteration method, accelerating algorithm, convergence analysis. AB -

We consider two parameter iteration methods for the coupled Sylvester matrix equations $$AX+YB=E$$ $$CX+YD=F.$$ Having established the convergence of the algorithms, we discuss the choice of optimal parameters. Numerical examples show the efficiency of the methods.

Changqing Lv and Changfeng Ma. (2018). Two Parameter Iteration Methods for Coupled Sylvester Matrix Equations. East Asian Journal on Applied Mathematics. 8 (2). 336-351. doi:10.4208/eajam.181117.250118b
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