Product Hybrid Block GMRES for Nonsymmetrical Linear Systems with Multiple Right-hand Sides
Year: 2006
Journal of Information and Computing Science, Vol. 1 (2006), Iss. 5 : pp. 303–310
Abstract
Recently, the complementary behavior of restarted GMRES has been studied. We observed that successive cycles of restarted block BGMRES (BGMRES(m,s)) can also complement one another harmoniously in reducing the iterative residual. In the present paper, this characterization of BGMRES(m,s) is exploited to form a hybrid block iterative scheme. In particular, a product hybrid block GMRES algorithm for nonsymmetrical systems with multiple right-hand sides is proposed. The new algorithm combines the advantage of Simoncini’s Hybrid Block GMRES and Zhong’s Product Hybrid GMRES. Numerical experiments are conducted to show that the new algorithm can offer significant improvement over the hybrid block GMRES.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2024-JICS-22829
Journal of Information and Computing Science, Vol. 1 (2006), Iss. 5 : pp. 303–310
Published online: 2006-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8