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• W2099189833 abstract "In this paper we propose a numerical method for approximating the product of a matrix function with multiple vectors by Krylov subspace methods combined with a QR decomposition of these vectors. This problem arises in the implementation of exponential integrators for semilinear parabolic problems. We will derive reliable stopping criteria and we suggest variants using up- and downdating techniques. Moreover, we show how Ritz vectors can be included in order to speed up the computation even further. By a number of numerical examples, we will illustrate that the proposed method will reduce the total number of Krylov steps significantly compared to a standard implementation if the vectors correspond to the evaluation of a smooth function at certain quadrature points." @default.
• W2099189833 created "2016-06-24" @default.
• W2099189833 creator A5013995544 @default.
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• W2099189833 date "2008-12-01" @default.
• W2099189833 modified "2023-09-23" @default.
• W2099189833 title "Approximation of matrix operators applied to multiple vectors" @default.
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• W2099189833 doi "https://doi.org/10.1016/j.matcom.2008.03.016" @default.
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