Naslov
Nonrecursive Equivalent of the Conjugate Gradient Method without the Need to Restart

Autori
Dvornik, Josip ; Lazarević, Damir ; Jaguljnjak Lazarević, Antonia ; Demšić, Marija

Izvornik
Advances in civil engineering (1687-8086) 2019 (2019); 7527590, 5

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Iterated Ritz method ; Conjugate gradient method ; conjugacy ; restart ; preconditioning

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Građevinarstvo, Računarstvo, Temeljne tehničke znanosti

POVEZANOST RADA