A quasi-minimal residual variant of IDRstab using the residual smoothing technique

Autor:	Emiko Ishiwata, Kuniyoshi Abe, Kensuke Aihara
Rok vydání:	2014
Předmět:	Computational Mathematics Applied Mathematics Dimensionality reduction Mathematical analysis Linear system Convergence (routing) Applied mathematics Residual Smoothing Mathematics
Zdroj:	Applied Mathematics and Computation. 236:67-77
ISSN:	0096-3003
DOI:	10.1016/j.amc.2014.03.034
Popis:	Quasi-Minimal Residual (QMR)-type methods have been developed for improving the oscillations in the residual norms of the Bi-Conjugate Gradient (Bi-CG) method and the hybrid Bi-CG methods. The IDRstab method, which combines the Induced Dimension Reduction (IDR)(s) method with higher-order stabilizing polynomials, is often more effective than IDR(s) and the hybrid Bi-CG methods, but the residual norms oscillate. In this paper, we design a QMR variant of IDRstab by using a residual smoothing technique in order to obtain smoother convergence behavior. Numerical experiments show the effectiveness of our QMR variant of IDRstab.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7a3fa54ef61f644a2dd4343d805be2d4 https://doi.org/10.1016/j.amc.2014.03.034 Zobrazit plný text záznamu Full Text from ScienceDirect