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- W2053243358 abstract "We provide expressions for the residual norms when using the full orthogonalization method and the generalized minimum residual method for solving linear systems. They involve a triangular submatrix of the Hessenberg matrix generated by the Arnoldi process. This allows one to obtain bounds showing that the norm of the residual decreases to zero when the smallest singular value of this triangular matrix goes to zero. Numerical examples show that even though these bounds are not sharp they describe quite well the rate of decrease of the residual norm." @default.
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- W2053243358 date "2011-04-01" @default.
- W2053243358 modified "2023-09-26" @default.
- W2053243358 title "On the Residual Norm in FOM and GMRES" @default.
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- W2053243358 doi "https://doi.org/10.1137/100807831" @default.
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