@Article{JCM-23-83,
author = {Bao-Jiang Zhong},
title = {A Product Hybrid GMRES Algorithm for Nonsymmetric Linear Systems},
journal = {Journal of Computational Mathematics},
year = {2005},
volume = {23},
number = {1},
pages = {83--92},
abstract = {<p style="text-align: justify;">It has been observed that the residual polynomials resulted from successive restarting cycles of GMRES($m$) may differ from one another meaningfully. In this paper, it is further shown that the polynomials can complement one another harmoniously in reducing the iterative residual. This characterization of GMRES($m$) is exploited to formulate an efficient hybrid iterative scheme, which can be widely applied to existing hybrid algorithms for solving large nonsymmetric systems of linear equations. In particular, a variant of the hybrid GMRES algorithm of Nachtigal, Reichel and Trefethen (1992) is presented. It is described how the new algorithm may offer significant performance improvements over the original one.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8798.html}
}