期刊
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS
卷 26, 期 4, 页码 962-984出版社
SIAM PUBLICATIONS
DOI: 10.1137/S0895479803422014
关键词
GMRES; iterative methods; Krylov subspace; restart; nonsymmetric linear systems
We have observed that the residual vectors at the end of each restart cycle of restarted GMRES often alternate direction in a cyclic fashion, thereby slowing convergence. We present a new technique for accelerating the convergence of restarted GMRES by disrupting this alternating pattern. The new algorithm resembles a full conjugate gradient method with polynomial preconditioning, and its implementation requires minimal changes to the standard restarted GMRES algorithm.
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