A proximal regularized Gauss-Newton-Kaczmarz method and its acceleration for nonlinear ill-posed problems

Long, Haie; Han, Bo; Tong, Shanshan

doi:10.1016/j.apnum.2020.01.002

Cited by 4 publications

(1 citation statement)

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“…38 Its error curve drops fast but its calculation is complicated. 39 By introducing a penalty factor 40 which can be adjusted to optimize the algorithm, 41,42 the Levenberg-Marquardt (LM) method is widely used in the field of identification. 43 This article focuses on the parameter identification problem of multiple-input single-output Hammerstein finite impulse response (MISO-H-FIR) systems by employing the data filtering technique and the hierarchical identification principle.…”

Section: Introductionmentioning

confidence: 99%

The data filtering based multiple‐stage Levenberg–Marquardt algorithm for Hammerstein nonlinear systems

Kang

Liu

2021

Intl J Robust & Nonlinear

126

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This article considers the parameter identification problem of multiple-input single-output Hammerstein nonlinear systems. Applying the data filtering technique, the input-output data are filtered. The filtered system is decomposed into multiple subsystems with fewer variables by using the hierarchical identification principle. The data filtering based multiple-stage Levenberg-Marquardt algorithm is proposed for interactively identifying each subsystem. Finally, a numerical simulation example is given to demonstrate the effectiveness of the proposed algorithms.

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