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Scientific paper - Original scientific paper
Nonrecursive equivalent of the conjugate gradient method without the need to restart
Advances in Civil Engineering, 2019 (2019); 1-5. https://doi.org/10.1155/2019/7527590
Dvornik, Josip; Lazarević, Damir; Jaguljnjak Lazarević, Antonia; Demšić, Marija

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Dvornik, J., Lazarević, D., Jaguljnjak Lazarević, A. & Demšić, M. (2019). Nonrecursive equivalent of the conjugate gradient method without the need to restart. Advances in Civil Engineering, 2019., 1-5. doi: 10.1155/2019/7527590

Dvornik, Josip, et al. "Nonrecursive equivalent of the conjugate gradient method without the need to restart." Advances in Civil Engineering, vol. 2019, 2019, pp. 1-5. https://doi.org/10.1155/2019/7527590

Dvornik, Josip, Damir Lazarević, Antonia Jaguljnjak Lazarević and Marija Demšić. "Nonrecursive equivalent of the conjugate gradient method without the need to restart." Advances in Civil Engineering 2019 (2019): 1-5. https://doi.org/10.1155/2019/7527590

Dvornik, J., et al. (2019) 'Nonrecursive equivalent of the conjugate gradient method without the need to restart', Advances in Civil Engineering, 2019, pp. 1-5. doi: 10.1155/2019/7527590

Dvornik J, Lazarević D, Jaguljnjak Lazarević A, Demšić M. Nonrecursive equivalent of the conjugate gradient method without the need to restart. Advances in Civil Engineering [Internet]. 2019 April 11 [cited 2024 April 18];2019:1-5. doi: 10.1155/2019/7527590

J. Dvornik, D. Lazarević, A. Jaguljnjak Lazarević and M. Demšić, "Nonrecursive equivalent of the conjugate gradient method without the need to restart", Advances in Civil Engineering, vol. 2019, pp. 1-5, April 2019. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:169:880876. [Accessed: 18 April 2024]

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Metadata
Title (english)Nonrecursive equivalent of the conjugate gradient method without the need to restart
AuthorJosip Dvornik
AuthorDamir Lazarević
AuthorAntonia Jaguljnjak Lazarević
AuthorMarija Demšić
Author's institutionUniversity of Zagreb
Faculty of Civil Engineering
Author's institutionUniversity of Zagreb
Faculty of Mining, Geology and Petroleum Engineering
(Department of Mining and Geotechnical Engineering)
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Civil Engineering
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Computing
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Basic Technical Sciences
Abstract (english)
A simple alternative to the conjugate gradient (CG) method is presented; this method is developed as a special case of the more general iterated Ritz method (IRM) for solving a system of linear equations. This novel algorithm is not based on conjugacy; i.e., it is not necessary to maintain overall orthogonalities between various vectors from distant steps. This method is more stable than CG, and restarting techniques are not required. As in CG, only one matrix-vector multiplication is required per step with appropriate transformations. The algorithm is easily explained by energy considerations without appealing to the A-orthogonality in n-dimensional space. Finally, relaxation factor and preconditioning-like techniques can be adopted easily.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titleAdvances in Civil Engineering
Numberingvol. 2019, pp. 1-5, 7527590
p-ISSN1687-8086
e-ISSN1687-8094
DOIhttps://doi.org/10.1155/2019/7527590
URN:NBNurn:nbn:hr:169:880876
Publication2019-04-11
Document URLhttps://www.hindawi.com/journals/ace/2019/7527590/
Type of resourceText
Access conditionsOpen access
Terms of useLicence Attribution 4.0 International (CC BY 4.0) icon
Created on2020-07-02 11:53:46