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Original scientific paper

Accelerated generalized SOR method for a class of complex systems of linear equations

Vahid Edalatpour ; Faculty of Mathematical Sciences, University of Guilan, Guilan, Rasht, Iran
Davod Hezari ; Faculty of Mathematical Sciences, University of Guilan, Guilan, Rasht, Iran
Davod Khojasteh Salkuyeh ; Faculty of Mathematical Sciences, University of Guilan, Guilan, Rasht, Iran

Fulltext: english, pdf (230 KB) pages 37-52 downloads: 425* cite
APA 6th Edition
Edalatpour, V., Hezari, D. & Khojasteh Salkuyeh, D. (2015). Accelerated generalized SOR method for a class of complex systems of linear equations. Mathematical Communications, 20 (1), 37-52. Retrieved from https://hrcak.srce.hr/140386
MLA 8th Edition
Edalatpour, Vahid, et al. "Accelerated generalized SOR method for a class of complex systems of linear equations." Mathematical Communications, vol. 20, no. 1, 2015, pp. 37-52. https://hrcak.srce.hr/140386. Accessed 24 Jun. 2021.
Chicago 17th Edition
Edalatpour, Vahid, Davod Hezari and Davod Khojasteh Salkuyeh. "Accelerated generalized SOR method for a class of complex systems of linear equations." Mathematical Communications 20, no. 1 (2015): 37-52. https://hrcak.srce.hr/140386
Harvard
Edalatpour, V., Hezari, D., and Khojasteh Salkuyeh, D. (2015). 'Accelerated generalized SOR method for a class of complex systems of linear equations', Mathematical Communications, 20(1), pp. 37-52. Available at: https://hrcak.srce.hr/140386 (Accessed 24 June 2021)
Vancouver
Edalatpour V, Hezari D, Khojasteh Salkuyeh D. Accelerated generalized SOR method for a class of complex systems of linear equations. Mathematical Communications [Internet]. 2015 [cited 2021 June 24];20(1):37-52. Available from: https://hrcak.srce.hr/140386
IEEE
V. Edalatpour, D. Hezari and D. Khojasteh Salkuyeh, "Accelerated generalized SOR method for a class of complex systems of linear equations", Mathematical Communications, vol.20, no. 1, pp. 37-52, 2015. [Online]. Available: https://hrcak.srce.hr/140386. [Accessed: 24 June 2021]

Abstracts
For solving a broad class of complex symmetric linear systems, recently Salkuyeh et al. recast the system in a real formulation and studied a generalized successive overrelaxation (GSOR) iterative method. In this paper, we introduce an accelerated GSOR (AGSOR) iterative method which involves two iteration parameters. Then, we theoretically study its convergence properties and determine its optimal iteration parameters and corresponding optimal convergence factor. Finally, some numerical computations are presented to validate the theoretical results and compare the performance of the AGSOR method with those of the GSOR and MHSS methods.

Keywords
Complex linear systems; Symmetric positive definite; Optimal parameters; Generalized SOR method; Accelerated GSOR method; MHSS

Hrčak ID: 140386

URI
https://hrcak.srce.hr/140386

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