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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 10, paper published in the English version journal
DOI: https://doi.org/10.7868/S0044466915100099 (Mi zvmmf10278) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Weighted versions of Gl-FOM and Gl-GMRES for solving general coupled linear matrix equations

Fatemeh Panjeh Ali Beika, Davod Khojasteh Salkuyehb

a Department of Mathematics, Vali-e-asr University of Rafsanjan, P. O. Box 518, Rafsanjan, Iran
b Faculty of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht, Iran
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DOI: https://doi.org/10.7868/S0044466915100099
Abstract: In this paper, two algorithms called weighted Gl-FOM (WGl-FOM) and weighted Gl-GMRES (WGl-GMRES) are proposed for solving the general coupled linear matrix equations. In order to accelerate the speed of convergence, a new inner product is used. Invoking the new inner product and a new matrix product, the weighted global Arnoldi algorithm is introduced which will be utilized for employing the WGl-FOM and WGl-GMRES algorithms to solve the linear coupled linear matrix equations. After introducing the weighted methods, some relations that link Gl-FOM (Gl-GMRES) to its weighted version are established. Numerical experiments are presented to illustrate the effectiveness of the new algorithms in comparison with Gl-FOM and Gl-GMRES algorithms for solving the linear coupled linear matrix equations.
Key words: linear matrix equation, Krylov subspace, weighted methods, global FOM, global GMRES, global Arnoldi.
Received: 15.11.2013
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 10, Pages 1606–1618
DOI: https://doi.org/10.1134/S0965542515100097
Bibliographic databases:
Document Type: Article
UDC: 519.612
Language: English
Citation: Fatemeh Panjeh Ali Beik, Davod Khojasteh Salkuyeh, “Weighted versions of Gl-FOM and Gl-GMRES for solving general coupled linear matrix equations”, Comput. Math. Math. Phys., 55:10 (2015), 1606–1618
Citation in format AMSBIB
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\by Fatemeh~Panjeh~Ali~Beik, Davod~Khojasteh~Salkuyeh
\paper Weighted versions of Gl-FOM and Gl-GMRES for solving general coupled linear matrix equations
\jour Comput. Math. Math. Phys.
\yr 2015
\vol 55
\issue 10
\pages 1606--1618
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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