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• W3185319760 abstract "We present a class of algorithms based on rational Krylov methods to compute the action of a generalized matrix function on a vector. These algorithms incorporate existing methods based on the Golub-Kahan bidiagonalization as a special case. By exploiting the quasiseparable structure of the projected matrices, we show that the basis vectors can be updated using a short recurrence, which can be seen as a generalization to the rational case of the Golub-Kahan bidiagonalization. We also prove error bounds that relate the error of these methods to uniform rational approximation. The effectiveness of the algorithms and the accuracy of the bounds is illustrated with numerical experiments." @default.
• W3185319760 created "2021-08-02" @default.
• W3185319760 creator A5069822556 @default.
• W3185319760 creator A5074934165 @default.
• W3185319760 date "2022-11-15" @default.
• W3185319760 modified "2023-10-01" @default.
• W3185319760 title "Computation of generalized matrix functions with rational Krylov methods" @default.
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• W3185319760 doi "https://doi.org/10.1090/mcom/3788" @default.
• W3185319760 hasPublicationYear "2022" @default.
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