A Novel Representation of the Exact Solution for Differential Algebraic Equations System Using Residual Power-Series Method by Khaled Moaddy, Mohammed AL-Smadi, Ishak Hashim

“…We implement a relatively new analytic iterative technique to get approximate solutions of differential algebraic equations system based on generalized Taylor series formula. …”
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Beyond bronchial thermoplasty – where to now? by Peter B. Noble, David Langton, Chuan T. Foo, Bruce R. Thompson, Alvenia Cairncross, Michael J. Hackmann, Francis Thien, Graham M. Donovan

“…It is anticipated that the next iteration of BT (likely in a drug form) will have an overall greater effect on the health care system by virtue of evoking ASM remodelling as a treatable trait, and after appropriately drawing on lessons learned from the ∼fifteen-year BT saga.…”
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Real-Time Optimal Approach and Capture of ENVISAT Based on Neural Networks by Hongjue Li, Yunfeng Dong, Peiyun Li

“…These training samples are generated by solving multiple optimal control problems with successive iterations. Then, Radial Basis Function (RBF) neural networks are designed to mimic this optimal control strategy from the generated data. …”
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A Novel BBO Algorithm Based on Local Search and Nonuniform Variation for Iris Classification by Lisheng Wei, Ning Wang, Huacai Lu

“…Then, the nonuniform variation was introduced to enhance the algorithm in the later iteration. The algorithm could achieve a stronger iris classifier by lifting weaker similarity classifiers during the training stage. …”
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Energy Efficiency Maximization with Optimal Beamforming in Secure MISO CRNs with SWIPT by Liang Xue, Yao Ma, Miao Zhang, Wanqiang Qin, Jin-Long Wang, Yazhou Wu

“…The paper proposes a two-level iterative algorithm based on Dinkelbach to find the optimal solution of the EE maximization problem. …”
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Mathematical modeling of electric regime of closed supply network taking into account temperature dependence of active resistances by A. O. Shepelev, S. S. Girshin, V. N. Goryunov, O. A. Sidorov, K. V. Khatsevskiy, E. Yu. Shepeleva

“…The simultaneous solution of the equations of electric and thermal regimes is realized on the basis of temperature correction in the formation of the Jacobi matrix at each iteration of the solution of the nodal stress equations. …”
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Research on Meshing Force of Harmonic Reducer based on No-load Backlash and Circumferential Meshing Stiffness by Ziying Wang, Qungui Du, Dongzhou Zheng, Yuhang Hu, Mengfei Liu, Longfeng Zhong

“…The distribution of meshing force under different load conditions is obtained by iterative solution based on the no-load backlash and the circumferential meshing stiffness matrix. …”
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Variational Inference of Kalman Filter and Its Application in Wireless Sensor Networks by Zijian Dong, Tiecheng Song

“…The variational inference of Kalman filter includes two steps, the predict step and the update step, and an iterative process is included in the update step to get the optimized solutions of the posterior distribution. …”
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Application of Radial Basis Function Method for Solving Nonlinear Integral Equations by Huaiqing Zhang, Yu Chen, Chunxian Guo, Zhihong Fu

“…Finally, the coefficients of RBFs were determined by Newton’s iteration method and an approximate solution was obtained. …”
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An Inertial Subgradient Extragradient Method for Efficiently Solving Fixed-Point and Equilibrium Problems in Infinite Families of Demimetric Mappings by Habib ur Rehman, Fouzia Amir, Jehad Alzabut, Mohammad Athar Azim

“…We establish that the iterative sequences generated by our proposed algorithms converge strongly under suitable conditions. …”
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Parabolic Equation Accumulated Split Error and Its Correction Method for Tropospheric Radio Propagation by Peipei Wei, Xiaoyan Du, Xinwei Hu, Changyin Jiang

“…However, available SSFT does not provide perfect solutions by introducing accumulated split error (ASE) for its step-by-step iteration process with a fixed propagation range step. …”
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Optimizing Transit Network Departure Frequency considering Congestion Effects by Wei Tan, Xiaodong Peng, Jun Huang, Yuwen Wang, Jiandong Qiu, Xiaobo Liu

“…This problem is solved by a heuristic gradient descent algorithm, where an approximation of the gradient is obtained at each iteration by using sensitivity analysis for transit equilibrium problems. …”
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Backtracking Search Optimization Algorithm for Synthesis of Concentric Circular Antenna Arrays by K. Guney, A. Durmus, S. Basbug

“…BSA is also compared with differential search (DS) and bacterial foraging algorithms (BFA) in terms of iterative performances.…”
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Research of cloud-network operating system based on ONAP open-source architecture by Dong WANG, Qiong SUN, Honglei XU

“…Cloud-network convergence is an output of the deep convergence of communication technology and information technology.Open network automation platform (ONAP) is an open-source automatic network orchestrator managed by Linux Foundation Networking.It is able to support the operation and orchestration of multiple network applications based on unified open architecture.A systemic solution was proposed to deeply research design-time run-time, closed-loop automation and E2E slicing use case based on ONAP open-source architecture to support the operation and orchestration requirements of cloud-network operating system in the future.This solution focuses on the agile and iterated development of efficient and applicative cloud-network operating system for the requirements of cloud-network convergence operation based on open-source unified architecture.…”
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Algorithm on joint optimization of power allocation and slot allocation in satellite communication systems by Han HAN, Ying LI, Xu DONG, Xiao-bo GUO, Qin-fei HUANG

“…An algorithm to jointly optimize the power allocation and the slot allocation in order to improve the utilization efficiency of the limited resources on the satellite was proposed.The basic principles of the mutual compensation and mutual independence between these two resources are explored to pave the way for joint optimization.Considering the differences about each station’s channel condition and capacity requirement,a state-combination model for optimally allocating the resources is setted up,so as to adapt the multi-resource usage pattern with each earth station.Targeting at the energy efficiency,an iterative dual optimization algorithm is proposed,and the final optimal policy for resource allocation with low complexity is obtained.With the simulation and analysis,the proposed joint optimization is verified to perform better than the non-joint ones in the perspective of the energy efficiency,especially when the frequency resource (the carrier number) is less.…”
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Improved Generalized Sparsity Adaptive Matching Pursuit Algorithm Based on Compressive Sensing by Zhao Liquan, Ma Ke, Jia Yanfei

“…It uses a larger step size to estimate sparsity at the beginning of iteration to accelerate the algorithm convergence speed and a smaller step size to improve the reconstruction accuracy. …”
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An Analytical Optimisation Framework for Airport Terminal Capacity Expansion by Sultan Alodhaibi, Robert L. Burdett, Prasad K. D. V. Yarlagadda

“…The first method is creating new solution randomly in each iteration, and the second method is local search that is mimicked by any move of the current solution of x solution chosen randomly in its neighborhood. …”
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Efficient Convex Optimization of Reentry Trajectory via the Chebyshev Pseudospectral Method by Chun-Mei Yu, Dang-Jun Zhao, Ye Yang

“…The Chebyshev-Gauss Legend (CGL) node points are used to transcribe the original dynamic constraint into algebraic equality constraint; therefore, a nonlinear programming (NLP) problem is concave and time-consuming to be solved. The iterative linearization and convexification techniques are proposed to convert the concave constraints into convex constraints; therefore, a sequential convex programming problem can be efficiently solved by convex algorithms. …”
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THERMAL-MAGNETIC-ELASTIC ANALYSIS OF A CURRENT-CARRYING CANTILEVER CYLINDRICAL SHELL by BIAN YuHong, ZHAO HaiTao

“…Using the linearization method,the linear iterative equations on the thermal-magnetic-elastic problem are obtained and transformed into normal Cauchy type including eight basic unknown functions. …”
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Solving arbitrary one-loop reduction via generating function by Tingfei Li, Yuekai Song, Liang Zhang

“…Based on these equations, we derive an integration recursion relation and solve it iteratively. This approach enables us to explore the analytical structure of higher-pole reduction and provides a valuable tool for generating reduction coefficients efficiently.…”
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