New convergence results on the global GMRES method for diagonalizable matrices
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摘要
In the present paper, we give some new convergence results of the global GMRES method for multiple linear systems. In the case where the coefficient matrix A is diagonalizable, we derive new upper bounds for the Frobenius norm of the residual. We also consider the case of normal matrices and we propose new expressions for the norm of the residual.
论文关键词：65F10,Convergence,Global GMRES,Iterative methods,Matrix Krylov subspace,Multiple linear systems
论文评审过程：Received 11 November 2006, Revised 6 July 2007, Available online 25 September 2007.
论文官网地址：https://doi.org/10.1016/j.cam.2007.09.016
