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Nonrecursive Equivalent of the Conjugate Gradient Method without the Need to Restart
Advances in Civil Engineering, 2019 (2019); 7527590. 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. i Demšić, M. (2019). Nonrecursive Equivalent of the Conjugate Gradient Method without the Need to Restart. Advances in Civil Engineering, 2019.. 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. https://doi.org/10.1155/2019/7527590

Dvornik, Josip, Damir Lazarević, Antonia Jaguljnjak Lazarević i Marija Demšić. "Nonrecursive Equivalent of the Conjugate Gradient Method without the Need to Restart." Advances in Civil Engineering 2019 (2019). 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. 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. [pristupljeno 12.11.2024.];2019. doi: 10.1155/2019/7527590

J. Dvornik, D. Lazarević, A. Jaguljnjak Lazarević i M. Demšić, "Nonrecursive Equivalent of the Conjugate Gradient Method without the Need to Restart", Advances in Civil Engineering, vol. 2019, 2019. [Online]. Dostupno na: https://urn.nsk.hr/urn:nbn:hr:237:905152. [Citirano: 12.11.2024.]

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Podaci o radu
Naslov (engleski)Nonrecursive Equivalent of the Conjugate Gradient Method without the Need to Restart
AutorJosip Dvornik
AutorDamir Lazarević
AutorAntonia Jaguljnjak Lazarević
AutorMarija Demšić
Autorova ustanovaSveučilište u Zagrebu
Građevinski fakultet
Znanstveno / umjetničko
područje, polje i grana		TEHNIČKE ZNANOSTI
Građevinarstvo
Sažetak (engleski)
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.
Ključne riječi (engleski)
Jezikengleski
Vrsta publikacijeZnanstveni rad - Izvorni znanstveni rad
Status objaveObjavljen
Vrsta recenzijeRecenziran - međunarodna recenzija
Verzija publikacijeObjavljena verzija rada (izdavačev PDF)
Naslov časopisaAdvances in Civil Engineering
Brojčani podacivol. 2019, 7527590
p-ISSN1687-8086
e-ISSN1687-8094
DOIhttps://doi.org/10.1155/2019/7527590
URN:NBNurn:nbn:hr:237:905152
Datum objave publikacije2019
Vrsta resursaTekst
Prava pristupaOtvoreni pristup
Uvjeti korištenjaIkona licence Zaštićeno autorskim pravom.
Datum i vrijeme pohrane2024-09-04 08:31:09