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• W2297389119 abstract "The RKFIT algorithm outlined in [M. Berljafa and S. Güttel, SIAM J. Matrix Anal. Appl., 36 (2015), pp. 894--916] is a Krylov-based approach for solving nonlinear rational least squares problems. This paper puts RKFIT into a general framework, allowing for its extension to nondiagonal rational approximants and a family of approximants sharing a common denominator. Furthermore, we derive a strategy for the degree reduction of the approximants, as well as methods for their conversion to partial fraction form, for the efficient evaluation, and for root-finding. We also discuss similarities and differences between RKFIT and the popular vector fitting algorithm. A MATLAB implementation of RKFIT is provided, and numerical experiments, including the fitting of a multiple-input/multiple-output (MIMO) dynamical system and an optimization problem related to exponential integration, demonstrate its applicability." @default.
• W2297389119 created "2016-06-24" @default.
• W2297389119 creator A5057867887 @default.
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• W2297389119 date "2017-01-01" @default.
• W2297389119 modified "2023-09-29" @default.
• W2297389119 title "The RKFIT Algorithm for Nonlinear Rational Approximation" @default.
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• W2297389119 doi "https://doi.org/10.1137/15m1025426" @default.
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