Solution for Forward Kinematics of Parallel Mechanism based on PSO-BPNN and Newton-Raphson Algorithm by Qiguo Hu, Yanli Luo, Lijie Cao, Jun Zhang

“…Taking parallel mechanism as a research object， aiming at the problem that neural network algorithm is easy to fall into local optimization and the Newton-Raphson algorithm is sensitive to the initial value of iteration when solving forward kinematics， a general forward kinematics algorithm combining PSO-BPNN and Newton-Raphson algorithm is proposed. …”
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Research on the Power Flow of Distributed Generation Based on Micro-grid Experiment Platform by LI Zhiyong, WU Binbin, WU Hengliang, LI Yao

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Assessing Reliability and Energy Security Through PLANS and EA-PSM Software Simulations by Piotr Hadaj, Dominik Strzałka

“…Utilizing the Newton–Raphson algorithm for power flow calculations, both tools offer robust solutions for network balance, addressing various issues, such as voltage distortions and reactive power injection. …”
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Application of Finite Mixture of Logistic Regression for Heterogeneous Merging Behavior Analysis by Gen Li

“…EM algorithm and Newton-Raphson algorithm were used to estimate the parameters. …”
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Progressive First-Failure Censoring in Reliability Analysis: Inference for a New Weibull–Pareto Distribution by Rashad M. EL-Sagheer, Mahmoud M. Ramadan

“…Maximum likelihood estimators are derived for the model parameters, as well as for the survival and hazard rate functions, although these estimators do not have explicit closed-form solutions. The Newton–Raphson algorithm is employed for the numerical computation of these estimates. …”
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An Improved Unscented Kalman Filter Applied to Positioning and Navigation of Autonomous Underwater Vehicles by Jinchao Zhao, Ya Zhang, Shizhong Li, Jiaxuan Wang, Lingling Fang, Luoyin Ning, Jinghao Feng, Jianwu Zhang

“…An estimation model for system noise, the adaptive Unscented Kalman Filter (UKF) algorithm was derived in light of the maximum likelihood criterion and optimized by applying the rolling-horizon estimation method, using the Newton–Raphson algorithm for the maximum likelihood estimation of noise statistics, and it was verified by simulation experiments using the Lie group inertial navigation error model. …”
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Reliability Estimation for the Gull Alpha Power Pareto Model Under Progressive Type-I Censoring by Mahmoud M. Abdelwahab, Ahmed R. El-Saeed, M. A. Abdelkawy, Mohamed Khalifa Ahmed Issa, Hanem Mohamed

“…Estimation methods were investigated from an algorithmic perspective: for maximum likelihood estimation, the Newton-Raphson algorithm was adapted, while for Bayesian estimation, Markov Chain Monte Carlo methods were employed, utilizing the Metropolis-Hastings algorithm. …”
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Design and Experimental Study of Electrical Impedance Tomography System for Tumor Ablation Boundary Monitoring by Wei WEI, Lidong XING, Xiaofei JIN, Zhiyu QIAN, Jingqi SONG, Kairan WAN, Haotian WANG

“…The system controls the amplitude of the excitation current signal and the acquisition / processing of boundary voltages via an STM32, uploads the collected data to an upper computer, and reconstructs the conductivity distribution using the Newton-Raphson algorithm to map the size of the ablation area. …”
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