Three-Step Block Method for Solving Nonlinear Boundary Value Problems by Phang Pei See, Zanariah Abdul Majid, Mohamed Suleiman

“…The proposed block method will be adapted with multiple shooting techniques via the three-step iterative method. The boundary value problem will be solved without reducing to first-order equations. …”
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Basin of Attraction through Invariant Curves and Dominant Functions by Ziyad AlSharawi, Asma Al-Ghassani, A. M. Amleh

“…In particular, for certain range of the parameters, a subset of the basin of attraction of the stable equilibrium is achieved by bounding positive solutions using the iteration of dominant functions with attracting equilibria.…”
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A Comparative Study on Qualification Criteria of Nonlinear Solvers with Introducing Some New Ones by R. H. AL-Obaidi, M. T. Darvishi

“…These use all parameters of a nonlinear solver such as convergence order, number of function evaluations, number of iterations, CPU time, etc. To achieve the criteria, different algorithms to solve nonlinear systems are categorised to three kinds. …”
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Anti-Inflammatory Properties of Dendrimers per se by Myriam Hayder, Séverine Fruchon, Jean-Jacques Fournié, Mary Poupot, Rémy Poupot

“…Unlike linear polymers, they have perfectly defined structure and molecular weight, due to their iterative step-by-step synthesis. Their multivalent structure and supramolecular properties have made them attractive nanotools for applications, particularly in biology and medicine. …”
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Adaptive beamforming of massive MIMO based on DoA in high mobility scenarios by Yong LIAO, Yu-feng LI, Xuan-fan SHEN

“…A direction of arrival based (DoA-based) beamforming of massive MIMO was proposed for high-speed railway scenarios.In order to guarantee that the optimal system capacity can be obtained during traveling,an iterative multi-beams scheme was proposed.It aimed to design different beams for different mobile carriage terminals (MCT) respectively.The proposal adaptively selected the number of antennas for each beam,and adaptively designed the number of beams according to system capacity.Moreover,the scheme didn’t need channel state information (CSI) that can reduce system implementation complexity and cost.Numerical results indicate that the proposed scheme is suitable for high-speed scenarios,the system performance can be improved more efficiently compared to conventional methods.…”
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Reordering for Improved Constrained Reconstruction from Undersampled k-Space Data by Ganesh Adluru, Edward V. R. DiBella

“…In this technique, the intensities of the signal estimate are reordered according to a preprocessing step when applying the constraints on the estimated solution within the iterative reconstruction. The ordering of the intensities is such that it makes the original artifact-free signal monotonic and thus minimizes the finite differences norm if the correct image is estimated; this ordering can be estimated based on the undersampled measured data. …”
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Optimization of [C]Raclopride Positron Emission Tomographic Rat Studies: Comparison of Methods for Image Quantification by Èlia Torrent, Magí Farré, Ibane Abasolo, Olga Millan, Jordi LLop, Juan Domingo Gispert, Alba Ruiz, Deborah Pareto

“…In addition, filtered backprojection is recommended as a reconstruction algorithm, although iterative methods may be more sensitive to detect within-group differences.…”
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Analysis of the Kinematics and Workspace of a Tripod Parallel Robot by Sun Shuai, Song Gongfei, Huang Xiancun

“…On the basis of the inverse solution analysis,the forward kinematics analysis formula is solved,and by using the numerical method of Newton iteration,the forward kinematics position is calculated. …”
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Off-Grid DOA Estimation Based on Compressed Sensing on Multipath Environment by Bin Hu, Xueyong Shen, Min Jiang, Kaiheng Zhao

“…Then, the problem of multipath propagation coefficients estimation is converted to the estimation of an error matrix and the grid is refined iteratively. The simulation results show that the method can achieve off-grid DOA estimation in the presence of the multipath propagation signals.…”
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Research and Application of SURF and Gray Difference in Detection of Small Modulus Plastic Gear Defect by Yang Ya, Tao Hongyan, Yu Chengbo

“…The obtained key points are iteratively sorted,and the RANSAC（ Random sample consensus） algorithm is used to extract the matching points for two times. …”
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Multi-cell downlink coordinated beam forming algorithm based on fairness duality theory by Shi-wen HE, Yong-ming HUANG, Lv-xi YANG

“…With the goal to optimize the multi-cell downlink beamforming based on the criterion of the worst-user rate maximization,the Lagrangian duality theory was first used to derive a virtual multi-cell uplink optimization problem that was dual to the primal multi-cell downlink beamforming optimization problem.Base on that,an iterative algorithm was developed to solve the virtual uplink problem by combining the methods of bisection search and geometric programming.Then,the primal multi-cell downlink coordinated beamforming optimization problem could be solved by converting the solution of the virtual uplink problem to the downlink.Simulation results demonstrate that,in contrast to the existing coordinated beamforming schemes,the proposed scheme achieves better performance in terms of both the worst-user rate and the rate per energy (RPE).…”
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Estimation of Heat Flux in Two-Dimensional Nonhomogeneous Parabolic Equation Based on a Sufficient Descent Levenberg–Marquard Algorithm by Xinfu Pang, Yang Yu, Haibo Li, Yuan Wang, Jinhui Zhao

“…At last, compared with other methods, the results of simulation experiment show that this algorithm can obviously reduce the running time and iterative number.…”
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Design and Construction of a Four-Point Contactless Switch for Industrial Application. by Okello, Thomas

“…The system's accuracy and reliability were assessed through testing and iteration, showing high accuracy and fast response times. …”
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Magnetic Field Finite Element Analysis of Disc-type Magnetorheological Fluid Transmission Device Driven by Shape Memory Alloy by Huang Jin, Qiao Zhen

“…The magnetic circuit theoretical model of transmission device is simulated by ANSYS software and the correctness of the simulation model is verified by the iterative calculation. The influences of different disc material and working gap size along the radial magnetic induction intensity are obtained by simulation of magnetic circuit,moreover the influence of isolation ring to the magnetic field intensity and output torque is analyzed.…”
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Asymptotic Optimality and Rates of Convergence of Quantized Stationary Policies in Continuous-Time Markov Decision Processes by Xiao Wu, Yanqiu Tang

“…Furthermore, we discretize and incentivize the action space and construct a sequence of quantizer policies, which is the approximation of the optimal stationary policies of the CTMDPs, and get the approximation result and the rates of convergence on the expected discounted rewards of the quantized stationary policies. Also, we give an iteration algorithm on the approximate optimal policies. …”
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Research of the Workspace Boundary Solving and Flexibility of 3-RRR Planar Parallel Robot by Cao Liya, Cui Jiankun, Song Yanan

“…A circular search algorithm for solving the spatial boundary of the planar parallel robot is proposed which is based on the iterative search method,and its flexibility index is analyzed. …”
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Bandwidth allocation games based on network selection for video communication by Shu-zhi WEI, Qi ZHU

“…A bandwidth allocation game based on network selection (BAG-NS) was proposed for video communication in heterogeneous wireless networks.Firstly,according to the video characteristics of different users and current network conditions,the algorithm calculated the weights of network factors and selected the optimum network by combining analytic hierarchy process and entropy theory.Secondly,the user’s utility function with payoff and cost was designed,and a distributed iterative algorithm is used to obtain the Nash equilibrium.Then the existence and uniqueness of the Nash equilibrium are proved.Simulation results show that the proposed algorithm enables different users to reasonably distribute in different networks and takes users’ fairness and network congestion control into consideration,which increases the utilization of network resources,reduces the users’ video distortion,and improves the users’ video quality.…”
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Analysis of Elastohydrodynamic Lubrication Characteristic of the Roller Enveloping Hourglass Worm Drive by Taoran Zhang, Lingyu Li

“…The elastohydrodynamic lubrication of drive pair is solved by using direct iterative method， the curves of oil film pressure and thickness of this drive pair are obtained. …”
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Crack initiation at V-notch tip subjected to in-plane mixed mode loading: An application of the fictitious notch rounding concept by F. Berto

“…Finally, for comparison, the support factor is determined on a purely numerical basis by iterative analysis of FE models.…”
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Improved CMA-FSE blind equalization algorithm for wireless ultraviolet communication by Taifei ZHAO, Longfei LIU, Jing WANG, Liyang YANG

“…There are serious intersymbol interference (ISI) and signal attenuation in wireless ultraviolet communication system.Aiming at this problem,an improved constant modulus fractionally spaced equalizer (CMA-FSE) based on signal-to-noise (SNR) estimation was proposed.The algorithm combined the fractionally spaced equalizer (FSE) and constant modulus algorithm (CMA) for blind equalization of wireless ultraviolet channels.The input SNR was measured by the mean square value of the received signal,and it was used to determine the best iterative step to ensure the convergence of the equalization algorithm.Simulation results show that the improved CMA-FSE algorithm can converge rapidly under various SNR,and it can effectively suppress ISI and improve the BER performance of the system.Compared with the existing algorithms,the improved algorithm is more useful in channel tracking and noise suppression.…”
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